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56903472 = 243423283
BaseRepresentation
bin1101100100010…
…0011100110000
310222001222220000
43121010130300
5104031402342
65351350000
71260446223
oct331043460
9128058800
1056903472
112a13646a
1217082300
13ba346c2
1477b35ba
154ee044c
hex3644730

56903472 has 150 divisors (see below), whose sum is σ = 174241452. Its totient is φ = 17924544.

The previous prime is 56903467. The next prime is 56903477. The reversal of 56903472 is 27430965.

It is an interprime number because it is at equal distance from previous prime (56903467) and next prime (56903477).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56903477) 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 29 ways as a sum of consecutive naturals, for example, 685543 + ... + 685625.

Almost surely, 256903472 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 56903472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120726).

56903472 is an abundant number, since it is smaller than the sum of its proper divisors (117337980).

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

56903472 is a wasteful number, since it uses less digits than its factorization.

56903472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56903472 is about 7543.4390035315. The cubic root of 56903472 is about 384.6327458666.

It can be divided in two parts, 56903 and 472, that added together give a palindrome (57375).

The spelling of 56903472 in words is "fifty-six million, nine hundred three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 83 92 108 138 144 162 166 184 207 216 249 276 324 332 368 414 432 498 529 552 621 648 664 747 828 996 1058 1104 1242 1296 1328 1494 1587 1656 1863 1909 1992 2116 2241 2484 2988 3174 3312 3726 3818 3984 4232 4482 4761 4968 5727 5976 6348 6723 7452 7636 8464 8964 9522 9936 11454 11952 12696 13446 14283 14904 15272 17181 17928 19044 22908 25392 26892 28566 29808 30544 34362 35856 38088 42849 43907 45816 51543 53784 57132 68724 76176 85698 87814 91632 103086 107568 114264 131721 137448 154629 171396 175628 206172 228528 263442 274896 309258 342792 351256 395163 412344 526884 618516 685584 702512 790326 824688 1053768 1185489 1237032 1580652 2107536 2370978 2474064 3161304 3556467 4741956 6322608 7112934 9483912 14225868 18967824 28451736 56903472