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29379152 = 2411792113
BaseRepresentation
bin111000000010…
…0101001010000
32001021121121202
41300010221100
530010113102
62525410332
7504501335
oct160045120
961247552
1029379152
1115646aa0
129a099a8
13611851a
143c8a98c
1528a4e02
hex1c04a50

29379152 has 40 divisors (see below), whose sum is σ = 62912640. Its totient is φ = 13178880.

The previous prime is 29379143. The next prime is 29379157. The reversal of 29379152 is 25197392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29379157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12848 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (1572816).

Almost surely, 229379152 is an apocalyptic number.

29379152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29379152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456320).

29379152 is an abundant number, since it is smaller than the sum of its proper divisors (33533488).

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

29379152 is a wasteful number, since it uses less digits than its factorization.

29379152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 29379152 is about 5420.2538685932. The cubic root of 29379152 is about 308.5648262680.

The spelling of 29379152 in words is "twenty-nine million, three hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 2113 3476 4226 6952 8452 13904 16904 23243 33808 46486 92972 166927 185944 333854 371888 667708 1335416 1836197 2670832 3672394 7344788 14689576 29379152