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161631948 = 223233131871
BaseRepresentation
bin10011010001001…
…00111011001100
3102021010202100110
421220210323030
5312334210243
624012200020
74001564112
oct1150447314
9367122313
10161631948
1183267525
1246169010
132764250a
1417675ab2
15e2cae33
hex9a24ecc

161631948 has 48 divisors (see below), whose sum is σ = 395006976. Its totient is φ = 51342720.

The previous prime is 161631929. The next prime is 161631983. The reversal of 161631948 is 849136161.

It is a super-2 number, since 2×1616319482 = 52249773228549408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85453 + ... + 87323.

It is an arithmetic number, because the mean of its divisors is an integer number (8229312).

Almost surely, 2161631948 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 161631948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197503488).

161631948 is an abundant number, since it is smaller than the sum of its proper divisors (233375028).

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

161631948 is a wasteful number, since it uses less digits than its factorization.

161631948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2212 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 161631948 is about 12713.4553918280. The cubic root of 161631948 is about 544.7230284714.

The spelling of 161631948 in words is "one hundred sixty-one million, six hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 313 626 939 1252 1871 1878 3742 3756 5613 7199 7484 11226 14398 21597 22452 28796 43033 43194 86066 86388 129099 172132 258198 516396 585623 1171246 1756869 2342492 3513738 7027476 13469329 26938658 40407987 53877316 80815974 161631948