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129377952 = 25331113613
BaseRepresentation
bin1111011011000…
…10011010100000
3100000110002012000
413231202122200
5231110043302
620501004000
73130460124
oct755423240
9300402160
10129377952
1167037630
12373b3600
1320a5b602
141327b584
15b55931c
hex7b626a0

129377952 has 96 divisors (see below), whose sum is σ = 411687360. Its totient is φ = 39202560.

The previous prime is 129377951. The next prime is 129377953. The reversal of 129377952 is 259773921.

It is an interprime number because it is at equal distance from previous prime (129377951) and next prime (129377953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 129377898 and 129377907.

It is not an unprimeable number, because it can be changed into a prime (129377951) 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 15 ways as a sum of consecutive naturals, for example, 2698 + ... + 16310.

It is an arithmetic number, because the mean of its divisors is an integer number (4288410).

Almost surely, 2129377952 is an apocalyptic number.

129377952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205843680).

129377952 is an abundant number, since it is smaller than the sum of its proper divisors (282309408).

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

129377952 is a wasteful number, since it uses less digits than its factorization.

129377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13643 (or 13629 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 129377952 is about 11374.4429314143. The cubic root of 129377952 is about 505.7704177034.

The spelling of 129377952 in words is "one hundred twenty-nine million, three hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 13613 27226 40839 54452 81678 108904 122517 149743 163356 217808 245034 299486 326712 367551 435616 449229 490068 598972 653424 735102 898458 980136 1197944 1306848 1347687 1470204 1796916 1960272 2395888 2695374 2940408 3593832 3920544 4043061 4791776 5390748 5880816 7187664 8086122 10781496 11761632 14375328 16172244 21562992 32344488 43125984 64688976 129377952