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56741904 = 24331931223
BaseRepresentation
bin1101100001110…
…1000000010000
310221202210021000
43120131000100
5104011220104
65344102000
71256204202
oct330350020
9127683230
1056741904
112a03603a
1217004900
13b9a8cbb
147770772
154eac639
hex361d010

56741904 has 160 divisors (see below), whose sum is σ = 177766400. Its totient is φ = 17262720.

The previous prime is 56741899. The next prime is 56741911. The reversal of 56741904 is 40914765.

56741904 is a `hidden beast` number, since 567 + 4 + 1 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254337 + ... + 254559.

It is an arithmetic number, because the mean of its divisors is an integer number (1111040).

Almost surely, 256741904 is an apocalyptic number.

56741904 is a gapful number since it is divisible by the number (54) 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 56741904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88883200).

56741904 is an abundant number, since it is smaller than the sum of its proper divisors (121024496).

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

56741904 is a wasteful number, since it uses less digits than its factorization.

56741904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56741904 is about 7532.7222171005. The cubic root of 56741904 is about 384.2683670894.

The spelling of 56741904 in words is "fifty-six million, seven hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 223 228 248 279 304 342 372 432 446 456 496 513 558 589 669 684 744 837 892 912 1026 1116 1178 1338 1368 1488 1674 1767 1784 2007 2052 2232 2356 2676 2736 3348 3534 3568 4014 4104 4237 4464 4712 5301 5352 6021 6696 6913 7068 8028 8208 8474 9424 10602 10704 12042 12711 13392 13826 14136 15903 16056 16948 20739 21204 24084 25422 27652 28272 31806 32112 33896 38133 41478 42408 48168 50844 55304 62217 63612 67792 76266 82956 84816 96336 101688 110608 114399 124434 127224 131347 152532 165912 186651 203376 228798 248868 254448 262694 305064 331824 373302 394041 457596 497736 525388 610128 746604 788082 915192 995472 1050776 1182123 1493208 1576164 1830384 2101552 2364246 2986416 3152328 3546369 4728492 6304656 7092738 9456984 14185476 18913968 28370952 56741904