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29671872 = 26329732
BaseRepresentation
bin111000100110…
…0000111000000
32001211111011020
41301030013000
530043444442
62535545440
7510130626
oct161140700
961744136
1029671872
1115826a0a
129b2b280
1361bb829
143d25516
1529119ec
hex1c4c1c0

29671872 has 84 divisors (see below), whose sum is σ = 82341720. Its totient is φ = 9418752.

The previous prime is 29671861. The next prime is 29671883. The reversal of 29671872 is 27817692.

It is an interprime number because it is at equal distance from previous prime (29671861) and next prime (29671883).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406428 + ... + 406500.

Almost surely, 229671872 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 29671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41170860).

29671872 is an abundant number, since it is smaller than the sum of its proper divisors (52669848).

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

29671872 is an equidigital number, since it uses as much as digits as its factorization.

29671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 107 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 29671872 is about 5447.1893670039. The cubic root of 29671872 is about 309.5862395316.

The spelling of 29671872 in words is "twenty-nine million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 73 87 96 116 146 174 192 219 232 292 348 438 464 584 696 876 928 1168 1392 1752 1856 2117 2336 2784 3504 4234 4672 5329 5568 6351 7008 8468 10658 12702 14016 15987 16936 21316 25404 31974 33872 42632 50808 63948 67744 85264 101616 127896 135488 154541 170528 203232 255792 309082 341056 406464 463623 511584 618164 927246 1023168 1236328 1854492 2472656 3708984 4945312 7417968 9890624 14835936 29671872