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57001896 = 233272107151
BaseRepresentation
bin1101100101110…
…0011110101000
310222020222220100
43121130132220
5104043030041
65353425400
71261336200
oct331343650
9128228810
1057001896
112a1a3406
121710b260
13ba6a443
1477db400
15500e6b6
hex365c7a8

57001896 has 144 divisors (see below), whose sum is σ = 182463840. Its totient is φ = 16027200.

The previous prime is 57001883. The next prime is 57001909. The reversal of 57001896 is 69810075.

57001896 is a `hidden beast` number, since 570 + 0 + 1 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57001883) and next prime (57001909).

It is a super-2 number, since 2×570018962 = 6498432295189632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57001896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377421 + ... + 377571.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 257001896 is an apocalyptic number.

57001896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57001896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91231920).

57001896 is an abundant number, since it is smaller than the sum of its proper divisors (125461944).

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

57001896 is a wasteful number, since it uses less digits than its factorization.

57001896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 57001896 is about 7549.9599998940. The cubic root of 57001896 is about 384.8543801904.

The spelling of 57001896 in words is "fifty-seven million, one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 107 126 147 151 168 196 214 252 294 302 321 392 428 441 453 504 588 604 642 749 856 882 906 963 1057 1176 1208 1284 1359 1498 1764 1812 1926 2114 2247 2568 2718 2996 3171 3528 3624 3852 4228 4494 5243 5436 5992 6342 6741 7399 7704 8456 8988 9513 10486 10872 12684 13482 14798 15729 16157 17976 19026 20972 22197 25368 26964 29596 31458 32314 38052 41944 44394 47187 48471 53928 59192 62916 64628 66591 76104 88788 94374 96942 113099 125832 129256 133182 145413 177576 188748 193884 226198 266364 290826 339297 377496 387768 452396 532728 581652 678594 791693 904792 1017891 1163304 1357188 1583386 2035782 2375079 2714376 3166772 4071564 4750158 6333544 7125237 8143128 9500316 14250474 19000632 28500948 57001896