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117461792 = 2571274129
BaseRepresentation
bin1110000000001…
…01001100100000
322012000200021202
413000011030200
5220032234132
615353340332
72624260130
oct700051440
9265020252
10117461792
1160338868
12334076a8
131b448826
1411858ac0
15a4a3762
hex7005320

117461792 has 48 divisors (see below), whose sum is σ = 266434560. Its totient is φ = 49932288.

The previous prime is 117461777. The next prime is 117461797. The reversal of 117461792 is 297164711.

It is not an unprimeable number, because it can be changed into a prime (117461797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26384 + ... + 30512.

It is an arithmetic number, because the mean of its divisors is an integer number (5550720).

Almost surely, 2117461792 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 117461792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133217280).

117461792 is an abundant number, since it is smaller than the sum of its proper divisors (148972768).

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

117461792 is a wasteful number, since it uses less digits than its factorization.

117461792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4265 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 117461792 is about 10837.9791474241. The cubic root of 117461792 is about 489.7399592037.

The spelling of 117461792 in words is "one hundred seventeen million, four hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1016 1778 2032 3556 4064 4129 7112 8258 14224 16516 28448 28903 33032 57806 66064 115612 132128 231224 462448 524383 924896 1048766 2097532 3670681 4195064 7341362 8390128 14682724 16780256 29365448 58730896 117461792