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29213136 = 243422541
BaseRepresentation
bin110111101110…
…0000111010000
32000222011220000
41233130013100
524434310021
62522050000
7503210331
oct157340720
960864800
1029213136
1115543297
129949900
13608aaa4
143c46288
152870b26
hex1bdc1d0

29213136 has 50 divisors (see below), whose sum is σ = 84555042. Its totient is φ = 9737280.

The previous prime is 29213117. The next prime is 29213153. The reversal of 29213136 is 63131292.

It can be written as a sum of positive squares in only one way, i.e., 27625536 + 1587600 = 5256^2 + 1260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9975 + ... + 12566.

Almost surely, 229213136 is an apocalyptic number.

It is an amenable number.

29213136 is an abundant number, since it is smaller than the sum of its proper divisors (55341906).

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

29213136 is a wasteful number, since it uses less digits than its factorization.

29213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22561 (or 22546 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 29213136 is about 5404.9177607064. The cubic root of 29213136 is about 307.9825143275.

The spelling of 29213136 in words is "twenty-nine million, two hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 22541 45082 67623 90164 135246 180328 202869 270492 360656 405738 540984 608607 811476 1081968 1217214 1622952 1825821 2434428 3245904 3651642 4868856 7303284 9737712 14606568 29213136