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161512992 = 25322337659
BaseRepresentation
bin10011010000001…
…11111000100000
3102020220201011200
421220013320200
5312321403432
624005441200
74000560234
oct1150077040
9366821150
10161512992
1183196113
1246110200
1327600324
14176445c4
15e2a5a7c
hex9a07e20

161512992 has 144 divisors (see below), whose sum is σ = 492972480. Its totient is φ = 50029056.

The previous prime is 161512921. The next prime is 161512993. The reversal of 161512992 is 299215161.

It is a tau number, because it is divible by the number of its divisors (144).

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 (161512993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244759 + ... + 245417.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2161512992 is an apocalyptic number.

161512992 is a gapful number since it is divisible by the number (12) 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 161512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

161512992 is an abundant number, since it is smaller than the sum of its proper divisors (331459488).

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

161512992 is a wasteful number, since it uses less digits than its factorization.

161512992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 161512992 is about 12708.7761802622. The cubic root of 161512992 is about 544.5893627031.

The spelling of 161512992 in words is "one hundred sixty-one million, five hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 552 592 659 666 736 828 851 888 1104 1184 1318 1332 1656 1702 1776 1977 2208 2553 2636 2664 3312 3404 3552 3954 5106 5272 5328 5931 6624 6808 7659 7908 10212 10544 10656 11862 13616 15157 15318 15816 20424 21088 23724 24383 27232 30314 30636 31632 40848 45471 47448 48766 60628 61272 63264 73149 81696 90942 94896 97532 121256 122544 136413 146298 181884 189792 195064 219447 242512 245088 272826 292596 363768 390128 438894 485024 545652 560809 585192 727536 780256 877788 1091304 1121618 1170384 1455072 1682427 1755576 2182608 2243236 2340768 3364854 3511152 4365216 4486472 5047281 6729708 7022304 8972944 10094562 13459416 17945888 20189124 26918832 40378248 53837664 80756496 161512992