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5632032 = 253717229
BaseRepresentation
bin10101011111000000100000
3101121010200210
4111133000200
52420211112
6320414120
765604630
oct25370040
911533623
105632032
1131a747a
121a77340
131222683
14a686c0
15763b3c
hex55f020

5632032 has 144 divisors (see below), whose sum is σ = 18567360. Its totient is φ = 1462272.

The previous prime is 5632027. The next prime is 5632043. The reversal of 5632032 is 2302365.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194194 + ... + 194222.

It is an arithmetic number, because the mean of its divisors is an integer number (128940).

Almost surely, 25632032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9283680).

5632032 is an abundant number, since it is smaller than the sum of its proper divisors (12935328).

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

5632032 is a wasteful number, since it uses less digits than its factorization.

5632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5632032 is about 2373.1902578597. The cubic root of 5632032 is about 177.9187442116.

Adding to 5632032 its reverse (2302365), we get a palindrome (7934397).

The spelling of 5632032 in words is "five million, six hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 68 84 87 96 102 112 116 119 136 168 174 203 204 224 232 238 272 289 336 348 357 406 408 464 476 493 544 578 609 672 696 714 812 816 867 928 952 986 1156 1218 1392 1428 1479 1624 1632 1734 1904 1972 2023 2312 2436 2784 2856 2958 3248 3451 3468 3808 3944 4046 4624 4872 5712 5916 6069 6496 6902 6936 7888 8092 8381 9248 9744 10353 11424 11832 12138 13804 13872 15776 16184 16762 19488 20706 23664 24276 25143 27608 27744 32368 33524 41412 47328 48552 50286 55216 58667 64736 67048 82824 97104 100572 110432 117334 134096 165648 176001 194208 201144 234668 268192 331296 352002 402288 469336 704004 804576 938672 1408008 1877344 2816016 5632032