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129246464 = 283131613
BaseRepresentation
bin1111011010000…
…10010100000000
3100000012101211002
413231002110000
5231041341324
620454111132
73126401564
oct755022400
9300171732
10129246464
1166a57866
123734b4a8
1320a137c9
14132456a4
15b5303ae
hex7b42500

129246464 has 36 divisors (see below), whose sum is σ = 258972756. Its totient is φ = 64376832.

The previous prime is 129246463. The next prime is 129246479. The reversal of 129246464 is 464642921.

It can be written as a sum of positive squares in 2 ways, for example, as 29246464 + 100000000 = 5408^2 + 10000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129246463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79322 + ... + 80934.

Almost surely, 2129246464 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 129246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129486378).

129246464 is an abundant number, since it is smaller than the sum of its proper divisors (129726292).

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

129246464 is an equidigital number, since it uses as much as digits as its factorization.

129246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1928 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 129246464 is about 11368.6614867362. The cubic root of 129246464 is about 505.5990199201.

The spelling of 129246464 in words is "one hundred twenty-nine million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 313 626 1252 1613 2504 3226 5008 6452 10016 12904 20032 25808 40064 51616 80128 103232 206464 412928 504869 1009738 2019476 4038952 8077904 16155808 32311616 64623232 129246464