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117292248 = 233217791213
BaseRepresentation
bin1101111110110…
…11110011011000
322011201001201100
412333123303120
5220011322443
615345551400
72622652623
oct677336330
9264631640
10117292248
1160232447
1233345560
131b3b95c8
1411812dba
15a46d3d3
hex6fdbcd8

117292248 has 96 divisors (see below), whose sum is σ = 340891200. Its totient is φ = 36301824.

The previous prime is 117292243. The next prime is 117292271. The reversal of 117292248 is 842292711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117292243) 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, 96090 + ... + 97302.

It is an arithmetic number, because the mean of its divisors is an integer number (3550950).

Almost surely, 2117292248 is an apocalyptic number.

117292248 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 117292248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170445600).

117292248 is an abundant number, since it is smaller than the sum of its proper divisors (223598952).

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

117292248 is a wasteful number, since it uses less digits than its factorization.

117292248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1314 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 117292248 is about 10830.1545695341. The cubic root of 117292248 is about 489.5042160118.

The spelling of 117292248 in words is "one hundred seventeen million, two hundred ninety-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1213 1224 1343 1422 1896 2426 2686 2844 3639 4029 4852 5372 5688 7278 8058 9704 10744 10917 12087 14556 16116 20621 21834 24174 29112 32232 41242 43668 48348 61863 82484 87336 95827 96696 123726 164968 185589 191654 247452 287481 371178 383308 494904 574962 742356 766616 862443 1149924 1484712 1629059 1724886 2299848 3258118 3449772 4887177 6516236 6899544 9774354 13032472 14661531 19548708 29323062 39097416 58646124 117292248