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57004376 = 23111323833
BaseRepresentation
bin1101100101110…
…1000101011000
310222021010022012
43121131011120
5104043120001
65353445052
71261346342
oct331350530
9128233265
1057004376
112a1a5260
1217110788
13ba6b600
1477dc292
1550102bb
hex365d158

57004376 has 48 divisors (see below), whose sum is σ = 126291960. Its totient is φ = 23911680.

The previous prime is 57004333. The next prime is 57004397. The reversal of 57004376 is 67340075.

57004376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12956 + ... + 16788.

Almost surely, 257004376 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 57004376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63145980).

57004376 is an abundant number, since it is smaller than the sum of its proper divisors (69287584).

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

57004376 is a wasteful number, since it uses less digits than its factorization.

57004376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 57004376 is about 7550.1242373884. The cubic root of 57004376 is about 384.8599614376.

The spelling of 57004376 in words is "fifty-seven million, four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 3833 7436 7666 14872 15332 30664 42163 49829 84326 99658 168652 199316 337304 398632 548119 647777 1096238 1295554 2192476 2591108 4384952 5182216 7125547 14251094 28502188 57004376