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129896448 = 212311312
BaseRepresentation
bin1111011111000…
…01000000000000
3100001102102102120
413233201000000
5231223141243
620520044240
73135046563
oct757410000
9301372376
10129896448
1167361140
1237603680
1320bb0606
14133744da
15b60cc83
hex7be1000

129896448 has 156 divisors (see below), whose sum is σ = 390415824. Its totient is φ = 38092800.

The previous prime is 129896447. The next prime is 129896449. The reversal of 129896448 is 844698921.

It is an interprime number because it is at equal distance from previous prime (129896447) and next prime (129896449).

It is a self number, because there is not a number n which added to its sum of digits gives 129896448.

It is not an unprimeable number, because it can be changed into a prime (129896443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4190193 + ... + 4190223.

Almost surely, 2129896448 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 129896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195207912).

129896448 is an abundant number, since it is smaller than the sum of its proper divisors (260519376).

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

129896448 is an equidigital number, since it uses as much as digits as its factorization.

129896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 129896448 is about 11397.2122907314. The cubic root of 129896448 is about 506.4451601772.

The spelling of 129896448 in words is "one hundred twenty-nine million, eight hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 961 992 1023 1024 1056 1364 1408 1488 1536 1922 1984 2046 2048 2112 2728 2816 2883 2976 3072 3844 3968 4092 4096 4224 5456 5632 5766 5952 6144 7688 7936 8184 8448 10571 10912 11264 11532 11904 12288 15376 15872 16368 16896 21142 21824 22528 23064 23808 30752 31713 31744 32736 33792 42284 43648 45056 46128 47616 61504 63426 63488 65472 67584 84568 87296 92256 95232 123008 126852 126976 130944 135168 169136 174592 184512 190464 246016 253704 261888 338272 349184 369024 380928 492032 507408 523776 676544 698368 738048 984064 1014816 1047552 1353088 1396736 1476096 1968128 2029632 2095104 2706176 2952192 3936256 4059264 4190208 5412352 5904384 8118528 10824704 11808768 16237056 21649408 32474112 43298816 64948224 129896448