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117806448 = 24331411931
BaseRepresentation
bin1110000010110…
…01010101110000
322012200012001210
413001121111300
5220124301243
615405000120
72630224014
oct701312560
9265605053
10117806448
1160553801
1233553040
131b539676
1411908544
15a520933
hex7059570

117806448 has 80 divisors (see below), whose sum is σ = 321979392. Its totient is φ = 37056000.

The previous prime is 117806443. The next prime is 117806449. The reversal of 117806448 is 844608711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117806443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60043 + ... + 61973.

Almost surely, 2117806448 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 117806448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989696).

117806448 is an abundant number, since it is smaller than the sum of its proper divisors (204172944).

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

117806448 is a wasteful number, since it uses less digits than its factorization.

117806448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 117806448 is about 10853.8678820041. The cubic root of 117806448 is about 490.2184892619.

The spelling of 117806448 in words is "one hundred seventeen million, eight hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1931 1968 2542 3813 3862 5084 5793 7626 7724 10168 11586 15252 15448 20336 23172 30504 30896 46344 59861 61008 79171 92688 119722 158342 179583 237513 239444 316684 359166 475026 478888 633368 718332 950052 957776 1266736 1436664 1900104 2454301 2873328 3800208 4908602 7362903 9817204 14725806 19634408 29451612 39268816 58903224 117806448