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57472896 = 2731329397
BaseRepresentation
bin1101101100111…
…1011110000000
311000010220222210
43123033132000
5104203113041
65411502120
71265340315
oct333173600
9130126883
1057472896
112a495268
12172b7940
13bba3940
1478c0d0c
1550a4016
hex36cf780

57472896 has 128 divisors (see below), whose sum is σ = 170503200. Its totient is φ = 17031168.

The previous prime is 57472889. The next prime is 57472901. The reversal of 57472896 is 69827475.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144570 + ... + 144966.

Almost surely, 257472896 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 57472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85251600).

57472896 is an abundant number, since it is smaller than the sum of its proper divisors (113030304).

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

57472896 is a wasteful number, since it uses less digits than its factorization.

57472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 57472896 is about 7581.0880485587. The cubic root of 57472896 is about 385.9114762053.

The spelling of 57472896 in words is "fifty-seven million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 397 416 464 624 696 754 794 832 928 1131 1191 1248 1392 1508 1588 1664 1856 2262 2382 2496 2784 3016 3176 3712 4524 4764 4992 5161 5568 6032 6352 9048 9528 10322 11136 11513 12064 12704 15483 18096 19056 20644 23026 24128 25408 30966 34539 36192 38112 41288 46052 48256 50816 61932 69078 72384 76224 82576 92104 123864 138156 144768 149669 152448 165152 184208 247728 276312 299338 330304 368416 449007 495456 552624 598676 660608 736832 898014 990912 1105248 1197352 1473664 1796028 1981824 2210496 2394704 3592056 4420992 4789408 7184112 9578816 14368224 19157632 28736448 57472896