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32113152 = 293323101
BaseRepresentation
bin111101010000…
…0001000000000
32020102111222000
41322200020000
531210110102
63104144000
7536646231
oct172401000
966374860
1032113152
11171440a5
12a908000
136864a86
14439d088
152c4501c
hex1ea0200

32113152 has 160 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 10137600.

The previous prime is 32113139. The next prime is 32113163. The reversal of 32113152 is 25131123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317902 + ... + 318002.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 232113152 is an apocalyptic number.

32113152 is a gapful number since it is divisible by the number (32) 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 32113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

32113152 is an abundant number, since it is smaller than the sum of its proper divisors (68059008).

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

32113152 is a wasteful number, since it uses less digits than its factorization.

32113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 32113152 is about 5666.8467422368. The cubic root of 32113152 is about 317.8539735384.

Adding to 32113152 its reverse (25131123), we get a palindrome (57244275).

The spelling of 32113152 in words is "thirty-two million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 101 108 128 138 144 184 192 202 207 216 256 276 288 303 368 384 404 414 432 512 552 576 606 621 736 768 808 828 864 909 1104 1152 1212 1242 1472 1536 1616 1656 1728 1818 2208 2304 2323 2424 2484 2727 2944 3232 3312 3456 3636 4416 4608 4646 4848 4968 5454 5888 6464 6624 6912 6969 7272 8832 9292 9696 9936 10908 11776 12928 13248 13824 13938 14544 17664 18584 19392 19872 20907 21816 25856 26496 27876 29088 35328 37168 38784 39744 41814 43632 51712 52992 55752 58176 62721 74336 77568 79488 83628 87264 105984 111504 116352 125442 148672 155136 158976 167256 174528 223008 232704 250884 297344 317952 334512 349056 446016 465408 501768 594688 669024 698112 892032 1003536 1189376 1338048 1396224 1784064 2007072 2676096 3568128 4014144 5352192 8028288 10704384 16056576 32113152