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161643456 = 26321321587
BaseRepresentation
bin10011010001001…
…11101111000000
3102021011100010200
421220213233000
5312340042311
624012325200
74001642502
oct1150475700
9367140120
10161643456
1183275137
1246173800
1327647820
1417679d72
15e2ce556
hex9a27bc0

161643456 has 84 divisors (see below), whose sum is σ = 498985032. Its totient is φ = 49734144.

The previous prime is 161643439. The next prime is 161643457. The reversal of 161643456 is 654346161.

It is a happy number.

161643456 is a `hidden beast` number, since 1 + 6 + 1 + 643 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×1616434562 = 52257213735247872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 161643456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161643457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3306 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (5940298).

Almost surely, 2161643456 is an apocalyptic number.

161643456 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 161643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249492516).

161643456 is an abundant number, since it is smaller than the sum of its proper divisors (337341576).

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

161643456 is a wasteful number, since it uses less digits than its factorization.

161643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21618 (or 21605 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 161643456 is about 12713.9079751271. The cubic root of 161643456 is about 544.7359560390.

The spelling of 161643456 in words is "one hundred sixty-one million, six hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 21587 43174 64761 86348 129522 172696 194283 259044 280631 345392 388566 518088 561262 690784 777132 841893 1036176 1122524 1381568 1554264 1683786 2072352 2245048 2525679 3108528 3367572 4144704 4490096 5051358 6217056 6735144 8980192 10102716 12434112 13470288 17960384 20205432 26940576 40410864 53881152 80821728 161643456