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29470464 = 283212791
BaseRepresentation
bin111000001101…
…0111100000000
32001110020212200
41300122330000
530021023324
62531353200
7505331502
oct160327400
961406780
1029470464
11156a9661
129a52800
13614ac5a
143cb1d72
1528c1ec9
hex1c1af00

29470464 has 54 divisors (see below), whose sum is σ = 84977256. Its totient is φ = 9822720.

The previous prime is 29470433. The next prime is 29470489. The reversal of 29470464 is 46407492.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4092 + ... + 8699.

Almost surely, 229470464 is an apocalyptic number.

29470464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29470464 is an abundant number, since it is smaller than the sum of its proper divisors (55506792).

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

29470464 is a wasteful number, since it uses less digits than its factorization.

29470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 29470464 is about 5428.6705554859. The cubic root of 29470464 is about 308.8841743918.

The spelling of 29470464 in words is "twenty-nine million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 12791 25582 38373 51164 76746 102328 115119 153492 204656 230238 306984 409312 460476 613968 818624 920952 1227936 1637248 1841904 2455872 3274496 3683808 4911744 7367616 9823488 14735232 29470464