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57072276 = 22341973127
BaseRepresentation
bin1101100110110…
…1101010010100
310222101120110000
43121231222110
5104102303101
65355131300
71262051322
oct331555224
9128346400
1057072276
112a241278
1217143b30
13ba934a1
147818d12
155025486
hex366da94

57072276 has 120 divisors (see below), whose sum is σ = 160455680. Its totient is φ = 17635968.

The previous prime is 57072259. The next prime is 57072277. The reversal of 57072276 is 67227075.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57072276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57072277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 449325 + ... + 449451.

Almost surely, 257072276 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 57072276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80227840).

57072276 is an abundant number, since it is smaller than the sum of its proper divisors (103383404).

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

57072276 is a wasteful number, since it uses less digits than its factorization.

57072276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57072276 is about 7554.6195139133. The cubic root of 57072276 is about 385.0127077382.

The spelling of 57072276 in words is "fifty-seven million, seventy-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 81 108 114 127 146 162 171 219 228 254 292 324 342 381 438 508 513 657 684 762 876 1026 1143 1314 1387 1524 1539 1971 2052 2286 2413 2628 2774 3078 3429 3942 4161 4572 4826 5548 5913 6156 6858 7239 7884 8322 9271 9652 10287 11826 12483 13716 14478 16644 18542 20574 21717 23652 24966 27813 28956 37084 37449 41148 43434 49932 55626 65151 74898 83439 86868 111252 112347 130302 149796 166878 176149 195453 224694 250317 260604 333756 352298 390906 449388 500634 528447 704596 750951 781812 1001268 1056894 1501902 1585341 2113788 3003804 3170682 4756023 6341364 9512046 14268069 19024092 28536138 57072276