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56424025800 = 23325249962819
BaseRepresentation
bin110100100011001000…
…100100111011001000
312101122021202111100100
4310203020210323020
51411024022311200
641530522405400
74035145206642
oct644310447310
9171567674310
1056424025800
1121a2498978a
12ab28360860
13542293ca1c
142a33999892
151703839d00
hexd23224ec8

56424025800 has 144 divisors (see below), whose sum is σ = 189873450000. Its totient is φ = 15016014720.

The previous prime is 56424025793. The next prime is 56424025807. The reversal of 56424025800 is 852042465.

It is a happy number.

56424025800 is a `hidden beast` number, since 5 + 642 + 4 + 0 + 2 + 5 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56424025793) and next prime (56424025807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56424025807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866791 + ... + 929609.

It is an arithmetic number, because the mean of its divisors is an integer number (1318565625).

Almost surely, 256424025800 is an apocalyptic number.

56424025800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56424025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94936725000).

56424025800 is an abundant number, since it is smaller than the sum of its proper divisors (133449424200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56424025800 is a wasteful number, since it uses less digits than its factorization.

56424025800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63340 (or 63328 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 56424025800 in words is "fifty-six billion, four hundred twenty-four million, twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 499 600 900 998 1497 1800 1996 2495 2994 3992 4491 4990 5988 7485 8982 9980 11976 12475 14970 17964 19960 22455 24950 29940 35928 37425 44910 49900 59880 62819 74850 89820 99800 112275 125638 149700 179640 188457 224550 251276 299400 314095 376914 449100 502552 565371 628190 753828 898200 942285 1130742 1256380 1507656 1570475 1884570 2261484 2512760 2826855 3140950 3769140 4522968 4711425 5653710 6281900 7538280 9422850 11307420 12563800 14134275 18845700 22614840 28268550 31346681 37691400 56537100 62693362 94040043 113074200 125386724 156733405 188080086 250773448 282120129 313466810 376160172 470200215 564240258 626933620 752320344 783667025 940400430 1128480516 1253867240 1410600645 1567334050 1880800860 2256961032 2351001075 2821201290 3134668100 3761601720 4702002150 5642402580 6269336200 7053003225 9404004300 11284805160 14106006450 18808008600 28212012900 56424025800