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56374720 = 2651743241
BaseRepresentation
bin1101011100001…
…1010111000000
310221002010120121
43113003113000
5103412442340
65332150024
71253114533
oct327032700
9127063517
1056374720
1129905186
1216a68314
13b8aab2c
1476b6a1a
154e3894a
hex35c35c0

56374720 has 112 divisors (see below), whose sum is σ = 146047968. Its totient is φ = 20643840.

The previous prime is 56374711. The next prime is 56374723. The reversal of 56374720 is 2747365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56374723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233800 + ... + 234040.

Almost surely, 256374720 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 56374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73023984).

56374720 is an abundant number, since it is smaller than the sum of its proper divisors (89673248).

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

56374720 is a wasteful number, since it uses less digits than its factorization.

56374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 56374720 is about 7508.3100628570. The cubic root of 56374720 is about 383.4376897145.

The spelling of 56374720 in words is "fifty-six million, three hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 136 160 170 172 215 241 272 320 340 344 430 482 544 680 688 731 860 964 1088 1205 1360 1376 1462 1720 1928 2410 2720 2752 2924 3440 3655 3856 4097 4820 5440 5848 6880 7310 7712 8194 9640 10363 11696 13760 14620 15424 16388 19280 20485 20726 23392 29240 32776 38560 40970 41452 46784 51815 58480 65552 77120 81940 82904 103630 116960 131104 163880 165808 176171 207260 233920 262208 327760 331616 352342 414520 655520 663232 704684 829040 880855 1311040 1409368 1658080 1761710 2818736 3316160 3523420 5637472 7046840 11274944 14093680 28187360 56374720