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117252408 = 233713371451
BaseRepresentation
bin1101111110100…
…10000100111000
322011122001001210
412333102010320
5220004034113
615345043120
72622425520
oct677220470
9264561053
10117252408
1160205519
12333264a0
131b3a4430
1411802680
15a4616c3
hex6fd2138

117252408 has 128 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 30067200.

The previous prime is 117252407. The next prime is 117252433. The reversal of 117252408 is 804252711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117252407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80083 + ... + 81533.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2117252408 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 117252408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

117252408 is an abundant number, since it is smaller than the sum of its proper divisors (253530312).

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

117252408 is a wasteful number, since it uses less digits than its factorization.

117252408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 117252408 is about 10828.3151043918. The cubic root of 117252408 is about 489.4487873517.

The spelling of 117252408 in words is "one hundred seventeen million, two hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1451 1554 1924 2072 2184 2886 2902 3108 3367 3848 4353 5772 5804 6216 6734 8706 10101 10157 11544 11608 13468 17412 18863 20202 20314 26936 30471 34824 37726 40404 40628 53687 56589 60942 75452 80808 81256 107374 113178 121884 132041 150904 161061 214748 226356 243768 264082 322122 375809 396123 429496 452712 528164 644244 697931 751618 792246 1056328 1127427 1288488 1395862 1503236 1584492 2093793 2254854 2791724 3006472 3168984 4187586 4509708 4885517 5583448 8375172 9019416 9771034 14656551 16750344 19542068 29313102 39084136 58626204 117252408