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117979488 = 253211167223
BaseRepresentation
bin1110000100000…
…11100101100000
322012222222102200
413002003211200
5220200320423
615412413200
72631544344
oct702034540
9265888380
10117979488
1160661810
1233617200
131b59a363
1411951624
15a556d43
hex7083960

117979488 has 144 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 35377920.

The previous prime is 117979483. The next prime is 117979567. The reversal of 117979488 is 884979711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117979483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528945 + ... + 529167.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2117979488 is an apocalyptic number.

117979488 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 117979488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

117979488 is an abundant number, since it is smaller than the sum of its proper divisors (251867808).

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

117979488 is a wasteful number, since it uses less digits than its factorization.

117979488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 117979488 is about 10861.8363088384. The cubic root of 117979488 is about 490.4583909814.

The spelling of 117979488 in words is "one hundred seventeen million, nine hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 167 176 198 223 264 288 334 352 396 446 501 528 668 669 792 892 1002 1056 1336 1338 1503 1584 1784 1837 2004 2007 2453 2672 2676 3006 3168 3568 3674 4008 4014 4906 5344 5352 5511 6012 7136 7348 7359 8016 8028 9812 10704 11022 12024 14696 14718 16032 16056 16533 19624 21408 22044 22077 24048 29392 29436 32112 33066 37241 39248 44088 44154 48096 58784 58872 64224 66132 74482 78496 88176 88308 111723 117744 132264 148964 176352 176616 223446 235488 264528 297928 335169 353232 409651 446892 529056 595856 670338 706464 819302 893784 1191712 1228953 1340676 1638604 1787568 2457906 2681352 3277208 3575136 3686859 4915812 5362704 6554416 7373718 9831624 10725408 13108832 14747436 19663248 29494872 39326496 58989744 117979488