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161353472 = 287219677
BaseRepresentation
bin10011001111000…
…00111100000000
3102020121121100112
421213200330000
5312301302342
624002210452
73666324200
oct1147407400
9366547315
10161353472
1183097285
1246053a28
1327575837
1417602400
15e273682
hex99e0f00

161353472 has 108 divisors (see below), whose sum is σ = 394962120. Its totient is φ = 65415168.

The previous prime is 161353427. The next prime is 161353499. The reversal of 161353472 is 274353161.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 237998 + ... + 238674.

Almost surely, 2161353472 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 161353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197481060).

161353472 is an abundant number, since it is smaller than the sum of its proper divisors (233608648).

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

161353472 is an equidigital number, since it uses as much as digits as its factorization.

161353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 705 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 161353472 is about 12702.4986518401. The cubic root of 161353472 is about 544.4100138468.

The spelling of 161353472 in words is "one hundred sixty-one million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 532 608 677 784 896 931 1064 1216 1354 1568 1792 1862 2128 2432 2708 3136 3724 4256 4739 4864 5416 6272 7448 8512 9478 10832 12544 12863 14896 17024 18956 21664 25726 29792 33173 34048 37912 43328 51452 59584 66346 75824 86656 90041 102904 119168 132692 151648 173312 180082 205808 238336 265384 303296 360164 411616 530768 606592 630287 720328 823232 1061536 1213184 1260574 1440656 1646464 2123072 2521148 2881312 3292928 4246144 5042296 5762624 8492288 10084592 11525248 20169184 23050496 40338368 80676736 161353472