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204979404 = 22371723792
BaseRepresentation
bin11000011011110…
…11110011001100
3112021201000212210
430031323303030
5404433320104
632201230420
75036203410
oct1415736314
9467630783
10204979404
11a5784073
1258792410
133360b8b6
141d31ad40
1512ede989
hexc37bccc

204979404 has 144 divisors (see below), whose sum is σ = 611670528. Its totient is φ = 52056576.

The previous prime is 204979351. The next prime is 204979451. The reversal of 204979404 is 404979402.

It is a happy number.

204979404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594637 + ... + 2594715.

It is an arithmetic number, because the mean of its divisors is an integer number (4247712).

Almost surely, 2204979404 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 204979404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305835264).

204979404 is an abundant number, since it is smaller than the sum of its proper divisors (406691124).

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

204979404 is a wasteful number, since it uses less digits than its factorization.

204979404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 204979404 is about 14317.1018016916. The cubic root of 204979404 is about 589.6171067330.

The spelling of 204979404 in words is "two hundred four million, nine hundred seventy-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 79 84 92 102 119 138 158 161 204 237 238 276 316 322 357 391 474 476 483 553 644 714 782 948 966 1106 1173 1343 1428 1564 1659 1817 1932 2212 2346 2686 2737 3318 3634 4029 4692 5372 5451 5474 6241 6636 7268 8058 8211 9401 10902 10948 12482 12719 16116 16422 18723 18802 21804 24964 25438 28203 30889 32844 37446 37604 38157 43687 50876 56406 61778 74892 76314 87374 92667 106097 112812 123556 131061 143543 152628 174748 185334 212194 216223 262122 287086 318291 370668 424388 430629 432446 524244 574172 636582 648669 742679 861258 864892 1004801 1273164 1297338 1485358 1722516 2009602 2228037 2440231 2594676 2970716 3014403 4019204 4456074 4880462 6028806 7320693 8912148 9760924 12057612 14641386 17081617 29282772 34163234 51244851 68326468 102489702 204979404