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117845442 = 23411135087
BaseRepresentation
bin1110000011000…
…10110111000010
322012202011120000
413001202313002
5220132023232
615405500430
72630445501
oct701426702
9265664500
10117845442
1160580030
1233571716
131b551340
1411918838
15a52c27c
hex7062dc2

117845442 has 80 divisors (see below), whose sum is σ = 310286592. Its totient is φ = 32957280.

The previous prime is 117845437. The next prime is 117845449. The reversal of 117845442 is 244548711.

It is a happy number.

117845442 is a `hidden beast` number, since 1 + 178 + 45 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117845397 and 117845406.

It is not an unprimeable number, because it can be changed into a prime (117845449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20623 + ... + 25709.

Almost surely, 2117845442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117845442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155143296).

117845442 is an abundant number, since it is smaller than the sum of its proper divisors (192441150).

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

117845442 is a wasteful number, since it uses less digits than its factorization.

117845442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5116 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 117845442 is about 10855.6640515447. The cubic root of 117845442 is about 490.2725708265.

The spelling of 117845442 in words is "one hundred seventeen million, eight hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 5087 7722 10174 11583 15261 23166 30522 45783 55957 66131 91566 111914 132262 137349 167871 198393 274698 335742 396786 412047 503613 595179 727441 824094 1007226 1190358 1454882 1510839 1785537 2182323 3021678 3571074 4364646 4532517 5356611 6546969 9065034 10713222 13093938 19640907 39281814 58922721 117845442