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57431840 = 2553111579
BaseRepresentation
bin1101101100010…
…1011100100000
311000001211200012
43123011130200
5104200304330
65410544052
71265106524
oct333053440
9130054605
1057431840
112a467434
1217298028
13bb8b04b
1478add84
155096c95
hex36c5720

57431840 has 48 divisors (see below), whose sum is σ = 140071680. Its totient is φ = 22229760.

The previous prime is 57431833. The next prime is 57431893. The reversal of 57431840 is 4813475.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 57431797 and 57431806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 10749.

It is an arithmetic number, because the mean of its divisors is an integer number (2918160).

Almost surely, 257431840 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 57431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70035840).

57431840 is an abundant number, since it is smaller than the sum of its proper divisors (82639840).

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

57431840 is a wasteful number, since it uses less digits than its factorization.

57431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 57431840 is about 7578.3797740678. The cubic root of 57431840 is about 385.8195618312.

The spelling of 57431840 in words is "fifty-seven million, four hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 11579 23158 46316 57895 92632 115790 185264 231580 358949 370528 463160 717898 926320 1435796 1794745 1852640 2871592 3589490 5743184 7178980 11486368 14357960 28715920 57431840