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166294496 = 2553711381
BaseRepresentation
bin10011110100101…
…11001111100000
3102120220122011102
421322113033200
5320032410441
624300133532
74056323414
oct1172271740
9376818142
10166294496
1185961575
12478372a8
13285b5814
141812ad44
15e8ec69b
hex9e973e0

166294496 has 48 divisors (see below), whose sum is σ = 338512608. Its totient is φ = 80371200.

The previous prime is 166294489. The next prime is 166294501. The reversal of 166294496 is 694492661.

It is a self number, because there is not a number n which added to its sum of digits gives 166294496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119726 + ... + 121106.

It is an arithmetic number, because the mean of its divisors is an integer number (7052346).

Almost surely, 2166294496 is an apocalyptic number.

166294496 is a gapful number since it is divisible by the number (16) 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 166294496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169256304).

166294496 is an abundant number, since it is smaller than the sum of its proper divisors (172218112).

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

166294496 is a wasteful number, since it uses less digits than its factorization.

166294496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 166294496 is about 12895.5223236595. The cubic root of 166294496 is about 549.9112760463.

The spelling of 166294496 in words is "one hundred sixty-six million, two hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 71 106 142 212 284 424 568 848 1136 1381 1696 2272 2762 3763 5524 7526 11048 15052 22096 30104 44192 60208 73193 98051 120416 146386 196102 292772 392204 585544 784408 1171088 1568816 2342176 3137632 5196703 10393406 20786812 41573624 83147248 166294496