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56372448 = 25311223211
BaseRepresentation
bin1101011100001…
…0110011100000
310221002000110110
43113002303200
5103412404243
65332131320
71253105106
oct327026340
9127060413
1056372448
1129903500
1216a66b40
13b8a9aa2
1476b5c76
154e37e33
hex35c2ce0

56372448 has 144 divisors (see below), whose sum is σ = 170529408. Its totient is φ = 16262400.

The previous prime is 56372431. The next prime is 56372461. The reversal of 56372448 is 84427365.

It is a happy number.

It is a super-3 number, since 3×563724483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267063 + ... + 267273.

It is an arithmetic number, because the mean of its divisors is an integer number (1184232).

Almost surely, 256372448 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 56372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85264704).

56372448 is an abundant number, since it is smaller than the sum of its proper divisors (114156960).

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

56372448 is a wasteful number, since it uses less digits than its factorization.

56372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 56372448 is about 7508.1587623065. The cubic root of 56372448 is about 383.4325385750.

The spelling of 56372448 in words is "fifty-six million, three hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 211 242 253 264 276 352 363 368 422 484 506 528 552 633 726 736 759 844 968 1012 1056 1104 1266 1452 1518 1688 1936 2024 2208 2321 2532 2783 2904 3036 3376 3872 4048 4642 4853 5064 5566 5808 6072 6752 6963 8096 8349 9284 9706 10128 11132 11616 12144 13926 14559 16698 18568 19412 20256 22264 24288 25531 27852 29118 33396 37136 38824 44528 51062 53383 55704 58236 66792 74272 76593 77648 89056 102124 106766 111408 116472 133584 153186 155296 160149 204248 213532 222816 232944 267168 306372 320298 408496 427064 465888 587213 612744 640596 816992 854128 1174426 1225488 1281192 1708256 1761639 2348852 2450976 2562384 3523278 4697704 5124768 7046556 9395408 14093112 18790816 28186224 56372448