Search a number
-
+
57398208 = 263726101
BaseRepresentation
bin1101101011110…
…1001111000000
311000000010112120
43122331033000
5104143220313
65410124240
71264606500
oct332751700
9130003476
1057398208
112a44413a
1217280680
13bb7894a
1478a1a00
15508bd23
hex36bd3c0

57398208 has 84 divisors (see below), whose sum is σ = 176689512. Its totient is φ = 16396800.

The previous prime is 57398207. The next prime is 57398213. The reversal of 57398208 is 80289375.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×573982082 = 6589108563222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 57398208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57398203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6358 + ... + 12458.

Almost surely, 257398208 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 57398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344756).

57398208 is an abundant number, since it is smaller than the sum of its proper divisors (119291304).

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

57398208 is a wasteful number, since it uses less digits than its factorization.

57398208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 57398208 is about 7576.1605051635. The cubic root of 57398208 is about 385.7442353386.

The spelling of 57398208 in words is "fifty-seven million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 6101 9408 12202 18303 24404 36606 42707 48808 73212 85414 97616 128121 146424 170828 195232 256242 292848 298949 341656 390464 512484 585696 597898 683312 896847 1024968 1171392 1195796 1366624 1793694 2049936 2391592 2733248 3587388 4099872 4783184 7174776 8199744 9566368 14349552 19132736 28699104 57398208