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632139216 = 243294359179
BaseRepresentation
bin100101101011011…
…010110111010000
31122001110222222120
4211223122313100
52243311423331
6142420534240
721444044322
oct4553326720
91561428876
10632139216
112a490a605
12157851380
13a0c6c497
145dd51612
153a76a796
hex25adadd0

632139216 has 160 divisors (see below), whose sum is σ = 1767744000. Its totient is φ = 194256384.

The previous prime is 632139161. The next prime is 632139229. The reversal of 632139216 is 612931236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531415 + ... + 3531593.

It is an arithmetic number, because the mean of its divisors is an integer number (11048400).

Almost surely, 2632139216 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 632139216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872000).

632139216 is an abundant number, since it is smaller than the sum of its proper divisors (1135604784).

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

632139216 is a wasteful number, since it uses less digits than its factorization.

632139216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 632139216 is about 25142.3788850618. The cubic root of 632139216 is about 858.2310927665.

The spelling of 632139216 in words is "six hundred thirty-two million, one hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 59 86 87 116 118 129 172 174 177 179 232 236 258 344 348 354 358 464 472 516 537 688 696 708 716 944 1032 1074 1247 1392 1416 1432 1711 2064 2148 2494 2537 2832 2864 3422 3741 4296 4988 5074 5133 5191 6844 7482 7611 7697 8592 9976 10148 10266 10382 10561 13688 14964 15222 15394 15573 19952 20296 20532 20764 21122 23091 27376 29928 30444 30788 31146 31683 40592 41064 41528 42244 46182 59856 60888 61576 62292 63366 73573 82128 83056 84488 92364 121776 123152 124584 126732 147146 168976 184728 220719 223213 249168 253464 294292 306269 369456 441438 446426 454123 506928 588584 612538 669639 882876 892852 908246 918807 1177168 1225076 1339278 1362369 1765752 1785704 1816492 1837614 2450152 2678556 2724738 3531504 3571408 3632984 3675228 4900304 5357112 5449476 7265968 7350456 10714224 10898952 13169567 14700912 21797904 26339134 39508701 52678268 79017402 105356536 158034804 210713072 316069608 632139216