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29372148 = 22321362761
BaseRepresentation
bin111000000001…
…0111011110100
32001021021000100
41300002323310
530004402043
62525314100
7504442041
oct160027364
961237010
1029372148
1115641803
129a05930
136115290
143c881c8
1528a2cd3
hex1c02ef4

29372148 has 36 divisors (see below), whose sum is σ = 79958788. Its totient is φ = 9037440.

The previous prime is 29372131. The next prime is 29372153. The reversal of 29372148 is 84127392.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 25522704 = 1962^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 30913 + ... + 31848.

Almost surely, 229372148 is an apocalyptic number.

It is an amenable number.

29372148 is an abundant number, since it is smaller than the sum of its proper divisors (50586640).

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

29372148 is a wasteful number, since it uses less digits than its factorization.

29372148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62784 (or 62779 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 29372148 is about 5419.6077348827. The cubic root of 29372148 is about 308.5403036654.

The spelling of 29372148 in words is "twenty-nine million, three hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 62761 125522 188283 251044 376566 564849 753132 815893 1129698 1631786 2259396 2447679 3263572 4895358 7343037 9790716 14686074 29372148