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117466048 = 267793319
BaseRepresentation
bin1110000000001…
…10001111000000
322012000220010101
413000012033000
5220032403143
615353412144
72624305420
oct700061700
9265026111
10117466048
1160340a87
123340a054
131b44a74b
141185a480
15a4a4b4d
hex70063c0

117466048 has 56 divisors (see below), whose sum is σ = 269849600. Its totient is φ = 49690368.

The previous prime is 117466031. The next prime is 117466049. The reversal of 117466048 is 840664711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 117465998 and 117466016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117466049) 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, 33733 + ... + 37051.

Almost surely, 2117466048 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 117466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134924800).

117466048 is an abundant number, since it is smaller than the sum of its proper divisors (152383552).

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

117466048 is an equidigital number, since it uses as much as digits as its factorization.

117466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 117466048 is about 10838.1754922127. The cubic root of 117466048 is about 489.7458740578.

The spelling of 117466048 in words is "one hundred seventeen million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 3319 4424 5056 6638 8848 13276 17696 23233 26552 35392 46466 53104 92932 106208 185864 212416 262201 371728 524402 743456 1048804 1486912 1835407 2097608 3670814 4195216 7341628 8390432 14683256 16780864 29366512 58733024 117466048