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29738952 = 23321921739
BaseRepresentation
bin111000101110…
…0011111001000
32001221220011200
41301130133020
530103121302
62541224200
7510530325
oct161343710
961856150
1029738952
1115872351
129b62060
136213219
143d41b4c
15292681c
hex1c5c7c8

29738952 has 48 divisors (see below), whose sum is σ = 84786000. Its totient is φ = 9390816.

The previous prime is 29738927. The next prime is 29738957. The reversal of 29738952 is 25983792.

It is a junction number, because it is equal to n+sod(n) for n = 29738898 and 29738907.

It is not an unprimeable number, because it can be changed into a prime (29738957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9502 + ... + 12237.

It is an arithmetic number, because the mean of its divisors is an integer number (1766375).

Almost surely, 229738952 is an apocalyptic number.

It is an amenable number.

29738952 is an abundant number, since it is smaller than the sum of its proper divisors (55047048).

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

29738952 is a wasteful number, since it uses less digits than its factorization.

29738952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770 (or 21763 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 29738952 is about 5453.3431947751. The cubic root of 29738952 is about 309.8193605947.

The spelling of 29738952 in words is "twenty-nine million, seven hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 21739 43478 65217 86956 130434 173912 195651 260868 391302 413041 521736 782604 826082 1239123 1565208 1652164 2478246 3304328 3717369 4956492 7434738 9912984 14869476 29738952