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57014208 = 2632312103
BaseRepresentation
bin1101100101111…
…1011111000000
310222021121210100
43121133133000
5104043423313
65354002400
71261420116
oct331373700
9128247710
1057014208
112a201689
1217116400
13ba72c24
147801ab6
155013173
hex365f7c0

57014208 has 126 divisors (see below), whose sum is σ = 170502072. Its totient is φ = 18213120.

The previous prime is 57014183. The next prime is 57014227. The reversal of 57014208 is 80241075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553485 + ... + 553587.

Almost surely, 257014208 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 57014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85251036).

57014208 is an abundant number, since it is smaller than the sum of its proper divisors (113487864).

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

57014208 is a wasteful number, since it uses less digits than its factorization.

57014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57014208 is about 7550.7753244286. The cubic root of 57014208 is about 384.8820867894.

The spelling of 57014208 in words is "fifty-seven million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 103 124 144 186 192 206 248 279 288 309 372 412 496 558 576 618 744 824 927 961 992 1116 1236 1488 1648 1854 1922 1984 2232 2472 2883 2976 3193 3296 3708 3844 4464 4944 5766 5952 6386 6592 7416 7688 8649 8928 9579 9888 11532 12772 14832 15376 17298 17856 19158 19776 23064 25544 28737 29664 30752 34596 38316 46128 51088 57474 59328 61504 69192 76632 92256 98983 102176 114948 138384 153264 184512 197966 204352 229896 276768 296949 306528 395932 459792 553536 593898 613056 791864 890847 919584 1187796 1583728 1781694 1839168 2375592 3167456 3563388 4751184 6334912 7126776 9502368 14253552 19004736 28507104 57014208