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32048136 = 2334192137
BaseRepresentation
bin111101001000…
…0010000001000
32020022012210000
41322100100020
531201020021
63102523000
7536255541
oct172202010
966265700
1032048136
11170aa26a
12a896460
1368412c3
1443834c8
152c30b26
hex1e90408

32048136 has 120 divisors (see below), whose sum is σ = 95429070. Its totient is φ = 10046592.

The previous prime is 32048123. The next prime is 32048153. The reversal of 32048136 is 63184023.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26316900 + 5731236 = 5130^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 233860 + ... + 233996.

Almost surely, 232048136 is an apocalyptic number.

32048136 is a gapful number since it is divisible by the number (36) 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 32048136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47714535).

32048136 is an abundant number, since it is smaller than the sum of its proper divisors (63380934).

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

32048136 is a wasteful number, since it uses less digits than its factorization.

32048136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 32048136 is about 5661.1073121784. The cubic root of 32048136 is about 317.6393205087.

The spelling of 32048136 in words is "thirty-two million, forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 137 152 162 171 216 228 274 324 342 361 411 456 513 548 648 684 722 822 1026 1083 1096 1233 1368 1444 1539 1644 2052 2166 2466 2603 2888 3078 3249 3288 3699 4104 4332 4932 5206 6156 6498 7398 7809 8664 9747 9864 10412 11097 12312 12996 14796 15618 19494 20824 22194 23427 25992 29241 29592 31236 38988 44388 46854 49457 58482 62472 70281 77976 88776 93708 98914 116964 140562 148371 187416 197828 210843 233928 281124 296742 395656 421686 445113 562248 593484 843372 890226 1186968 1335339 1686744 1780452 2670678 3560904 4006017 5341356 8012034 10682712 16024068 32048136