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49929696 = 25356421
BaseRepresentation
bin1011111001110…
…1110111100000
310110221200200000
42332131313200
5100240222241
64542100000
71144252425
oct276356740
9113850600
1049929696
1126202a13
121487a600
13a4623cb
1468b9d4c
1545b3eb6
hex2f9dde0

49929696 has 72 divisors (see below), whose sum is σ = 147269304. Its totient is φ = 16640640.

The previous prime is 49929689. The next prime is 49929707. The reversal of 49929696 is 69692994.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

49929696 is a modest number, since divided by 9696 gives 4992 as remainder.

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, 4566 + ... + 10986.

It is an arithmetic number, because the mean of its divisors is an integer number (2045407).

Almost surely, 249929696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49929696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73634652).

49929696 is an abundant number, since it is smaller than the sum of its proper divisors (97339608).

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

49929696 is an equidigital number, since it uses as much as digits as its factorization.

49929696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6426 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 49929696 is about 7066.0948196299. The cubic root of 49929696 is about 368.2304007721.

It can be divided in two parts, 49929 and 696, that added together give a 4-th power (50625 = 154).

The spelling of 49929696 in words is "forty-nine million, nine hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 6421 7776 12842 19263 25684 38526 51368 57789 77052 102736 115578 154104 173367 205472 231156 308208 346734 462312 520101 616416 693468 924624 1040202 1386936 1560303 1849248 2080404 2773872 3120606 4160808 5547744 6241212 8321616 12482424 16643232 24964848 49929696