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29294928 = 24321315649
BaseRepresentation
bin110111111000…
…0000101010000
32001010100002100
41233300011100
524444414203
62523520400
7504000645
oct157600520
961110070
1029294928
1115599793
129989100
1360b90a0
143c67dcc
152889ea3
hex1bf0150

29294928 has 60 divisors (see below), whose sum is σ = 88297300. Its totient is φ = 9013248.

The previous prime is 29294899. The next prime is 29294929. The reversal of 29294928 is 82949292.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 24681024 = 2148^2 + 4968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29294929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5953 + ... + 9696.

Almost surely, 229294928 is an apocalyptic number.

It is an amenable number.

29294928 is an abundant number, since it is smaller than the sum of its proper divisors (59002372).

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

29294928 is a wasteful number, since it uses less digits than its factorization.

29294928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15667 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29294928 is about 5412.4789145086. The cubic root of 29294928 is about 308.2696800344.

The spelling of 29294928 in words is "twenty-nine million, two hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 15649 31298 46947 62596 93894 125192 140841 187788 203437 250384 281682 375576 406874 563364 610311 751152 813748 1126728 1220622 1627496 1830933 2253456 2441244 3254992 3661866 4882488 7323732 9764976 14647464 29294928