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29284864 = 2978171
BaseRepresentation
bin110111110110…
…1101000000000
32001002211021121
41233231220000
524444103424
62523402024
7503626420
oct157555000
961084247
1029284864
1115592174
129983314
1360b462b
143c64480
152886ee4
hex1beda00

29284864 has 40 divisors (see below), whose sum is σ = 66879648. Its totient is φ = 12549120.

The previous prime is 29284859. The next prime is 29284883. The reversal of 29284864 is 46848292.

It is a self number, because there is not a number n which added to its sum of digits gives 29284864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502 + ... + 7669.

Almost surely, 229284864 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 29284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33439824).

29284864 is an abundant number, since it is smaller than the sum of its proper divisors (37594784).

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

29284864 is an frugal number, since it uses more digits than its factorization.

29284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8180 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 29284864 is about 5411.5491312562. The cubic root of 29284864 is about 308.2343749308.

The spelling of 29284864 in words is "twenty-nine million, two hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 8171 16342 32684 57197 65368 114394 130736 228788 261472 457576 522944 915152 1045888 1830304 2091776 3660608 4183552 7321216 14642432 29284864