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161609472 = 2833103227
BaseRepresentation
bin10011010000111…
…11011100000000
3102021002121112000
421220133130000
5312333000342
624011504000
74001441433
oct1150373400
9367077460
10161609472
1183251652
1246158000
132763520b
141766b81a
15e2c444c
hex9a1f700

161609472 has 144 divisors (see below), whose sum is σ = 484673280. Its totient is φ = 53111808.

The previous prime is 161609471. The next prime is 161609473. The reversal of 161609472 is 274906161.

161609472 is a `hidden beast` number, since 1 + 6 + 1 + 609 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161609471) and next prime (161609473).

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

It is a super-2 number, since 2×1616094722 = 52235242880237568, which contains 22 as substring.

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 (161609471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711823 + ... + 712049.

Almost surely, 2161609472 is an apocalyptic number.

161609472 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 161609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336640).

161609472 is an abundant number, since it is smaller than the sum of its proper divisors (323063808).

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

161609472 is a wasteful number, since it uses less digits than its factorization.

161609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 161609472 is about 12712.5714157286. The cubic root of 161609472 is about 544.6977781780.

The spelling of 161609472 in words is "one hundred sixty-one million, six hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 227 256 288 309 384 412 432 454 576 618 681 768 824 864 908 927 1152 1236 1362 1648 1728 1816 1854 2043 2304 2472 2724 2781 3296 3456 3632 3708 4086 4944 5448 5562 6129 6592 6912 7264 7416 8172 9888 10896 11124 12258 13184 14528 14832 16344 19776 21792 22248 23381 24516 26368 29056 29664 32688 39552 43584 44496 46762 49032 58112 59328 65376 70143 79104 87168 88992 93524 98064 118656 130752 140286 174336 177984 187048 196128 210429 237312 261504 280572 355968 374096 392256 420858 523008 561144 631287 711936 748192 784512 841716 1122288 1262574 1496384 1569024 1683432 2244576 2525148 2992768 3366864 4489152 5050296 5985536 6733728 8978304 10100592 13467456 17956608 20201184 26934912 40402368 53869824 80804736 161609472