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29030832 = 2433175967
BaseRepresentation
bin110111010111…
…1100110110000
32000121220211000
41232233212300
524412441312
62514122000
7501520665
oct156574660
960556730
1029030832
1115429326
129880300
136025b0c
143bd9a6c
152836adc
hex1baf9b0

29030832 has 160 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 8819712.

The previous prime is 29030831. The next prime is 29030861. The reversal of 29030832 is 23803092.

It is a super-2 number, since 2×290308322 = 1685578413224448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 29030796 and 29030805.

It is not an unprimeable number, because it can be changed into a prime (29030831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433263 + ... + 433329.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 229030832 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 29030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

29030832 is an abundant number, since it is smaller than the sum of its proper divisors (62034768).

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

29030832 is a wasteful number, since it uses less digits than its factorization.

29030832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29030832 is about 5388.0267259916. The cubic root of 29030832 is about 307.3405240884.

The spelling of 29030832 in words is "twenty-nine million, thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 67 68 72 102 108 118 134 136 144 153 177 201 204 216 236 268 272 306 354 402 408 432 459 472 531 536 603 612 708 804 816 918 944 1003 1062 1072 1139 1206 1224 1416 1593 1608 1809 1836 2006 2124 2278 2412 2448 2832 3009 3186 3216 3417 3618 3672 3953 4012 4248 4556 4824 6018 6372 6834 7236 7344 7906 8024 8496 9027 9112 9648 10251 11859 12036 12744 13668 14472 15812 16048 18054 18224 20502 23718 24072 25488 27081 27336 28944 30753 31624 35577 36108 41004 47436 48144 54162 54672 61506 63248 67201 71154 72216 82008 94872 106731 108324 123012 134402 142308 144432 164016 189744 201603 213462 216648 246024 268804 284616 403206 426924 433296 492048 537608 569232 604809 806412 853848 1075216 1209618 1612824 1707696 1814427 2419236 3225648 3628854 4838472 7257708 9676944 14515416 29030832