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56925504 = 263479139
BaseRepresentation
bin1101100100100…
…1110101000000
310222010010010000
43121021311000
5104033104004
65352040000
71260600366
oct331116500
9128103100
1056925504
112a150a79
1217093000
13ba4173c
1477bb636
154ee6c39
hex3649d40

56925504 has 140 divisors (see below), whose sum is σ = 172110400. Its totient is φ = 18600192.

The previous prime is 56925497. The next prime is 56925509. The reversal of 56925504 is 40552965.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56925509) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 409467 + ... + 409605.

It is an arithmetic number, because the mean of its divisors is an integer number (1229360).

Almost surely, 256925504 is an apocalyptic number.

56925504 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 56925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86055200).

56925504 is an abundant number, since it is smaller than the sum of its proper divisors (115184896).

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

56925504 is a wasteful number, since it uses less digits than its factorization.

56925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 56925504 is about 7544.8992040981. The cubic root of 56925504 is about 384.6823804196.

The spelling of 56925504 in words is "fifty-six million, nine hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 139 144 158 162 192 216 237 278 288 316 324 417 432 474 556 576 632 648 711 834 864 948 1112 1251 1264 1296 1422 1668 1728 1896 2133 2224 2502 2528 2592 2844 3336 3753 3792 4266 4448 5004 5056 5184 5688 6399 6672 7506 7584 8532 8896 10008 10981 11259 11376 12798 13344 15012 15168 17064 20016 21962 22518 22752 25596 26688 30024 32943 34128 40032 43924 45036 45504 51192 60048 65886 68256 80064 87848 90072 98829 102384 120096 131772 136512 175696 180144 197658 204768 240192 263544 296487 351392 360288 395316 409536 527088 592974 702784 720576 790632 889461 1054176 1185948 1581264 1778922 2108352 2371896 3162528 3557844 4743792 6325056 7115688 9487584 14231376 18975168 28462752 56925504