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5129976 = 2333753109
BaseRepresentation
bin10011100100011011111000
3100122122000010
4103210123320
52303124401
6301541520
761414125
oct23443370
910578003
105129976
112994255
1218748a0
1310a7cb7
1497774c
156b4ed6
hex4e46f8

5129976 has 64 divisors (see below), whose sum is σ = 13543200. Its totient is φ = 1617408.

The previous prime is 5129959. The next prime is 5129983. The reversal of 5129976 is 6799215.

5129976 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47010 + ... + 47118.

Almost surely, 25129976 is an apocalyptic number.

5129976 is the 1308-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5129976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771600).

5129976 is an abundant number, since it is smaller than the sum of its proper divisors (8413224).

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

5129976 is a wasteful number, since it uses less digits than its factorization.

5129976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 5129976 is about 2264.9450324456. The cubic root of 5129976 is about 172.4666434137.

It can be divided in two parts, 5129 and 976, that added together give a triangular number (6105 = T110).

The spelling of 5129976 in words is "five million, one hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 109 111 148 159 212 218 222 296 318 327 424 436 444 636 654 872 888 1272 1308 1961 2616 3922 4033 5777 5883 7844 8066 11554 11766 12099 15688 16132 17331 23108 23532 24198 32264 34662 46216 47064 48396 69324 96792 138648 213749 427498 641247 854996 1282494 1709992 2564988 5129976