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56650440 = 23357116131
BaseRepresentation
bin1101100000011…
…0101011001000
310221121010210110
43120012223020
5104000303230
65342114320
71255343430
oct330065310
9127533713
1056650440
1129a83350
1216b7b9a0
13b976492
1477492c0
154e904b0
hex3606ac8

56650440 has 128 divisors (see below), whose sum is σ = 211921920. Its totient is φ = 11769600.

The previous prime is 56650439. The next prime is 56650453. The reversal of 56650440 is 4405665.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56650398 and 56650407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6175 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (1655640).

Almost surely, 256650440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

56650440 is an abundant number, since it is smaller than the sum of its proper divisors (155271480).

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

56650440 is a wasteful number, since it uses less digits than its factorization.

56650440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56650440 is about 7526.6486566067. The cubic root of 56650440 is about 384.0617847633.

The spelling of 56650440 in words is "fifty-six million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 6131 9240 12262 18393 24524 30655 36786 42917 49048 61310 67441 73572 85834 91965 122620 128751 134882 147144 171668 183930 202323 214585 245240 257502 269764 337205 343336 367860 404646 429170 472087 515004 539528 643755 674410 735720 809292 858340 944174 1011615 1030008 1287510 1348820 1416261 1618584 1716680 1888348 2023230 2360435 2575020 2697640 2832522 3776696 4046460 4720870 5150040 5665044 7081305 8092920 9441740 11330088 14162610 18883480 28325220 56650440