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29283264 = 263250839
BaseRepresentation
bin110111110110…
…1001111000000
32001002202002100
41233231033000
524444031024
62523350400
7503621643
oct157551700
961082070
1029283264
1115590a4a
129982400
1360b399a
143c63a5a
1528867c9
hex1bed3c0

29283264 has 42 divisors (see below), whose sum is σ = 83936840. Its totient is φ = 9760896.

The previous prime is 29283257. The next prime is 29283281. The reversal of 29283264 is 46238292.

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

It is a nude number because it is divisible by every one of its digits.

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, 24844 + ... + 25995.

Almost surely, 229283264 is an apocalyptic number.

29283264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29283264 is an abundant number, since it is smaller than the sum of its proper divisors (54653576).

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

29283264 is a wasteful number, since it uses less digits than its factorization.

29283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50857 (or 50844 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 29283264 is about 5411.4012972612. The cubic root of 29283264 is about 308.2287612916.

The spelling of 29283264 in words is "twenty-nine million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 50839 101678 152517 203356 305034 406712 457551 610068 813424 915102 1220136 1626848 1830204 2440272 3253696 3660408 4880544 7320816 9761088 14641632 29283264