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18865152 = 210322389
BaseRepresentation
bin100011111110…
…1110000000000
31022111110010100
41013331300000
514312141102
61512202400
7316231305
oct107756000
938443110
1018865152
11a715739
126399400
133ba6a17
1427110ac
1519c9a1c
hex11fdc00

18865152 has 132 divisors (see below), whose sum is σ = 57479760. Its totient is φ = 5947392.

The previous prime is 18865151. The next prime is 18865159. The reversal of 18865152 is 25156881.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18865151) by changing a digit.

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, 211924 + ... + 212012.

Almost surely, 218865152 is an apocalyptic number.

18865152 is a gapful number since it is divisible by the number (12) 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 18865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739880).

18865152 is an abundant number, since it is smaller than the sum of its proper divisors (38614608).

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

18865152 is a wasteful number, since it uses less digits than its factorization.

18865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 18865152 is about 4343.4032739316. The cubic root of 18865152 is about 266.2073872158.

The spelling of 18865152 in words is "eighteen million, eight hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 89 92 96 128 138 144 178 184 192 207 256 267 276 288 356 368 384 414 512 534 552 576 712 736 768 801 828 1024 1068 1104 1152 1424 1472 1536 1602 1656 2047 2136 2208 2304 2848 2944 3072 3204 3312 4094 4272 4416 4608 5696 5888 6141 6408 6624 8188 8544 8832 9216 11392 11776 12282 12816 13248 16376 17088 17664 18423 22784 23552 24564 25632 26496 32752 34176 35328 36846 45568 49128 51264 52992 65504 68352 70656 73692 91136 98256 102528 105984 131008 136704 147384 196512 205056 211968 262016 273408 294768 393024 410112 524032 589536 786048 820224 1048064 1179072 1572096 2096128 2358144 3144192 4716288 6288384 9432576 18865152