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163640484 = 223271314957
BaseRepresentation
bin10011100000011…
…11010010100100
3102101220210112200
421300033102210
5313342443414
624123214500
74024630650
oct1160172244
9371823480
10163640484
1184409577
1246977430
1327b967b7
1417a39a60
15e576109
hex9c0f4a4

163640484 has 72 divisors (see below), whose sum is σ = 476443968. Its totient is φ = 46388160.

The previous prime is 163640479. The next prime is 163640489. The reversal of 163640484 is 484046361.

163640484 is a `hidden beast` number, since 1 + 6 + 3 + 640 + 4 + 8 + 4 = 666.

163640484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163640479) and next prime (163640489).

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

It is not an unprimeable number, because it can be changed into a prime (163640489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30534 + ... + 35490.

Almost surely, 2163640484 is an apocalyptic number.

163640484 is a gapful number since it is divisible by the number (14) 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 163640484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238221984).

163640484 is an abundant number, since it is smaller than the sum of its proper divisors (312803484).

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

163640484 is a wasteful number, since it uses less digits than its factorization.

163640484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 163640484 is about 12792.2040321440. The cubic root of 163640484 is about 546.9700984182.

The spelling of 163640484 in words is "one hundred sixty-three million, six hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 4957 5502 8253 9914 11004 14871 16506 19828 29742 33012 34699 44613 59484 69398 89226 104097 138796 178452 208194 312291 416388 624582 649367 1249164 1298734 1948101 2597468 3896202 4545569 5844303 7792404 9091138 11688606 13636707 18182276 23377212 27273414 40910121 54546828 81820242 163640484