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57426880 = 265731827
BaseRepresentation
bin1101101100010…
…0001111000000
311000001120212111
43123010033000
5104200130010
65410505104
71265056210
oct333041700
9130046774
1057426880
112a463735
1217295194
13bb88a04
1478ac240
15509558a
hex36c43c0

57426880 has 112 divisors (see below), whose sum is σ = 161519616. Its totient is φ = 19031040.

The previous prime is 57426857. The next prime is 57426881. The reversal of 57426880 is 8862475.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57426881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69027 + ... + 69853.

Almost surely, 257426880 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 57426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80759808).

57426880 is an abundant number, since it is smaller than the sum of its proper divisors (104092736).

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

57426880 is a wasteful number, since it uses less digits than its factorization.

57426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 57426880 is about 7578.0525202719. The cubic root of 57426880 is about 385.8084546351.

The spelling of 57426880 in words is "fifty-seven million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 827 868 992 1085 1120 1240 1654 1736 1984 2170 2240 2480 3308 3472 4135 4340 4960 5789 6616 6944 8270 8680 9920 11578 13232 13888 16540 17360 23156 25637 26464 28945 33080 34720 46312 51274 52928 57890 66160 69440 92624 102548 115780 128185 132320 179459 185248 205096 231560 256370 264640 358918 370496 410192 463120 512740 717836 820384 897295 926240 1025480 1435672 1640768 1794590 1852480 2050960 2871344 3589180 4101920 5742688 7178360 8203840 11485376 14356720 28713440 57426880