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632161404 = 2232743227257
BaseRepresentation
bin100101101011100…
…000010001111100
31122001112010102100
4211223200101330
52243313131104
6142421225100
721444166110
oct4553402174
91561463370
10632161404
112a4925246
12157862190
13a0c79604
145dd59740
153a772139
hex25ae047c

632161404 has 144 divisors (see below), whose sum is σ = 1884250368. Its totient is φ = 174956544.

The previous prime is 632161399. The next prime is 632161441. The reversal of 632161404 is 404161236.

632161404 is a `hidden beast` number, since 632 + 16 + 14 + 0 + 4 = 666.

It is a congruent number.

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, 2459644 + ... + 2459900.

It is an arithmetic number, because the mean of its divisors is an integer number (13085072).

Almost surely, 2632161404 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 632161404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942125184).

632161404 is an abundant number, since it is smaller than the sum of its proper divisors (1252088964).

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

632161404 is a wasteful number, since it uses less digits than its factorization.

632161404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 632161404 is about 25142.8201282195. The cubic root of 632161404 is about 858.2411339137.

It can be divided in two parts, 63216 and 1404, that added together give a triangular number (64620 = T359).

The spelling of 632161404 in words is "six hundred thirty-two million, one hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 227 252 257 258 301 387 454 514 516 602 681 771 774 903 908 1028 1204 1362 1542 1548 1589 1799 1806 2043 2313 2709 2724 3084 3178 3598 3612 4086 4626 4767 5397 5418 6356 7196 8172 9252 9534 9761 10794 10836 11051 14301 16191 19068 19522 21588 22102 28602 29283 32382 33153 39044 44204 57204 58339 58566 64764 66306 68327 77357 87849 99459 116678 117132 132612 136654 154714 175017 175698 198918 204981 232071 233356 273308 309428 350034 351396 397836 408373 409962 464142 525051 614943 696213 700068 816746 819924 928284 1050102 1225119 1229886 1392426 1633492 2100204 2450238 2459772 2508577 2784852 3675357 4900476 5017154 7350714 7525731 10034308 14701428 15051462 17560039 22577193 30102924 35120078 45154386 52680117 70240156 90308772 105360234 158040351 210720468 316080702 632161404