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117295488 = 2732293511
BaseRepresentation
bin1101111110111…
…00100110000000
322011201020011100
412333130212000
5220011423423
615350014400
72622665232
oct677344600
9264636140
10117295488
1160234922
1233347400
131b3bac1b
1411814252
15a46e343
hex6fdc980

117295488 has 96 divisors (see below), whose sum is σ = 349268400. Its totient is φ = 37739520.

The previous prime is 117295483. The next prime is 117295489. The reversal of 117295488 is 884592711.

117295488 is a `hidden beast` number, since 11 + 72 + 95 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117295483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31653 + ... + 35163.

Almost surely, 2117295488 is an apocalyptic number.

117295488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174634200).

117295488 is an abundant number, since it is smaller than the sum of its proper divisors (231972912).

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

117295488 is a wasteful number, since it uses less digits than its factorization.

117295488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3545 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 117295488 is about 10830.3041508538. The cubic root of 117295488 is about 489.5087232123.

The spelling of 117295488 in words is "one hundred seventeen million, two hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3511 3712 4176 5568 7022 8352 10533 11136 14044 16704 21066 28088 31599 33408 42132 56176 63198 84264 101819 112352 126396 168528 203638 224704 252792 305457 337056 407276 449408 505584 610914 674112 814552 916371 1011168 1221828 1348224 1629104 1832742 2022336 2443656 3258208 3665484 4044672 4887312 6516416 7330968 9774624 13032832 14661936 19549248 29323872 39098496 58647744 117295488