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57974940 = 2235579151
BaseRepresentation
bin1101110100101…
…0000010011100
311001002102200000
43131022002130
5104320144230
65430334300
71302531102
oct335120234
9131072600
1057974940
112a7a8481
12174ba390
13c01b2ca
1479b1c72
155152b60
hex374a09c

57974940 has 144 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 15163200.

The previous prime is 57974911. The next prime is 57974941. The reversal of 57974940 is 4947975.

57974940 is a `hidden beast` number, since 579 + 74 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×579749402 = 6722187336007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57974941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383865 + ... + 384015.

Almost surely, 257974940 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 57974940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92951040).

57974940 is an abundant number, since it is smaller than the sum of its proper divisors (127927140).

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

57974940 is a wasteful number, since it uses less digits than its factorization.

57974940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 57974940 is about 7614.1276585043. The cubic root of 57974940 is about 387.0319065094.

The spelling of 57974940 in words is "fifty-seven million, nine hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 151 158 162 180 237 243 270 302 316 324 395 405 453 474 486 540 604 711 755 790 810 906 948 972 1185 1215 1359 1422 1510 1580 1620 1812 2133 2265 2370 2430 2718 2844 3020 3555 4077 4266 4530 4740 4860 5436 6399 6795 7110 8154 8532 9060 10665 11929 12231 12798 13590 14220 16308 19197 20385 21330 23858 24462 25596 27180 31995 35787 36693 38394 40770 42660 47716 48924 59645 61155 63990 71574 73386 76788 81540 95985 107361 119290 122310 127980 143148 146772 178935 183465 191970 214722 238580 244620 322083 357870 366930 383940 429444 536805 644166 715740 733860 966249 1073610 1288332 1610415 1932498 2147220 2898747 3220830 3864996 4831245 5797494 6441660 9662490 11594988 14493735 19324980 28987470 57974940