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29520672 = 253378311
BaseRepresentation
bin111000010011…
…1001100100000
32001112210202020
41300213030200
530024130142
62532421440
7505631046
oct160471440
961483666
1029520672
1115733355
129a77880
136167a6c
143cc6396
1528d1cec
hex1c27320

29520672 has 48 divisors (see below), whose sum is σ = 79595712. Its totient is φ = 9573120.

The previous prime is 29520671. The next prime is 29520679. The reversal of 29520672 is 27602592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (29520671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (1658244).

Almost surely, 229520672 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 29520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797856).

29520672 is an abundant number, since it is smaller than the sum of its proper divisors (50075040).

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

29520672 is a wasteful number, since it uses less digits than its factorization.

29520672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 29520672 is about 5433.2929241851. The cubic root of 29520672 is about 309.0594872955.

The spelling of 29520672 in words is "twenty-nine million, five hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 8311 16622 24933 33244 49866 66488 99732 132976 199464 265952 307507 398928 615014 797856 922521 1230028 1845042 2460056 3690084 4920112 7380168 9840224 14760336 29520672