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57426720 = 2535139203
BaseRepresentation
bin1101101100010…
…0001100100000
311000001120122120
43123010030200
5104200123340
65410504240
71265055561
oct333041440
9130046576
1057426720
112a4635aa
1217295080
13bb88910
1478ac168
1550954d0
hex36c4320

57426720 has 96 divisors (see below), whose sum is σ = 194830272. Its totient is φ = 14134272.

The previous prime is 57426689. The next prime is 57426739. The reversal of 57426720 is 2762475.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1639 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (2029482).

Almost surely, 257426720 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 57426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97415136).

57426720 is an abundant number, since it is smaller than the sum of its proper divisors (137403552).

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

57426720 is a wasteful number, since it uses less digits than its factorization.

57426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 57426720 is about 7578.0419634626. The cubic root of 57426720 is about 385.8080963278.

The spelling of 57426720 in words is "fifty-seven million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 9203 18406 27609 36812 46015 55218 73624 92030 110436 119639 138045 147248 184060 220872 239278 276090 294496 358917 368120 441744 478556 552180 598195 717834 736240 883488 957112 1104360 1196390 1435668 1472480 1794585 1914224 2208720 2392780 2871336 3589170 3828448 4417440 4785560 5742672 7178340 9571120 11485344 14356680 19142240 28713360 57426720