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57235464 = 2333111317109
BaseRepresentation
bin1101101001010…
…1100000001000
310222200212022000
43122111200020
5104123013324
65402431000
71263331146
oct332254010
9128625260
1057235464
112a342940
1217202460
13bb1c850
14785c596
1550589c9
hex3695808

57235464 has 256 divisors, whose sum is σ = 199584000. Its totient is φ = 14929920.

The previous prime is 57235463. The next prime is 57235483. The reversal of 57235464 is 46453275.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57235463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525042 + ... + 525150.

It is an arithmetic number, because the mean of its divisors is an integer number (779625).

Almost surely, 257235464 is an apocalyptic number.

57235464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57235464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

57235464 is an abundant number, since it is smaller than the sum of its proper divisors (142348536).

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

57235464 is a wasteful number, since it uses less digits than its factorization.

57235464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57235464 is about 7565.4123483125. The cubic root of 57235464 is about 385.3793169449.

The spelling of 57235464 in words is "fifty-seven million, two hundred thirty-five thousand, four hundred sixty-four".