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56750148 = 2232713171019
BaseRepresentation
bin1101100001111…
…1000001000100
310221210012120100
43120133001010
5104012001043
65344204100
71256240220
oct330370104
9127705510
1056750148
112a041254
1217009630
13b9ac990
147773780
154eaecd3
hex361f044

56750148 has 144 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 14072832.

The previous prime is 56750137. The next prime is 56750149. The reversal of 56750148 is 84105765.

56750148 is a `hidden beast` number, since 567 + 50 + 1 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56750149) 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 47 ways as a sum of consecutive naturals, for example, 55183 + ... + 56201.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 256750148 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 56750148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

56750148 is an abundant number, since it is smaller than the sum of its proper divisors (130374972).

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

56750148 is a wasteful number, since it uses less digits than its factorization.

56750148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56750148 is about 7533.2694097583. The cubic root of 56750148 is about 384.2869762347.

The spelling of 56750148 in words is "fifty-six million, seven hundred fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1019 1071 1092 1326 1428 1547 1638 1989 2038 2142 2652 3057 3094 3276 3978 4076 4284 4641 6114 6188 7133 7956 9171 9282 12228 13247 13923 14266 17323 18342 18564 21399 26494 27846 28532 34646 36684 39741 42798 51969 52988 55692 64197 69292 79482 85596 92729 103938 119223 121261 128394 155907 158964 185458 207876 225199 238446 242522 256788 278187 311814 363783 370916 450398 476892 485044 556374 623628 675597 727566 834561 900796 1091349 1112748 1351194 1455132 1576393 1669122 2026791 2182698 2702388 3152786 3338244 4053582 4365396 4729179 6305572 8107164 9458358 14187537 18916716 28375074 56750148