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1529904996 = 2234412532
BaseRepresentation
bin101101100110000…
…0111111101100100
310221121210020010000
41123030013331210
511113123424441
6411451101300
752624656264
oct13314077544
93847706100
101529904996
117156562a4
12368441830
131b4c62c39
141072897a4
158e4a52b6
hex5b307f64

1529904996 has 135 divisors (see below), whose sum is σ = 4178207803. Its totient is φ = 488142720.

The previous prime is 1529904973. The next prime is 1529904997. The reversal of 1529904996 is 6994099251.

The square root of 1529904996 is 39114.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 165636900 + 1364268096 = 12870^2 + 36936^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1529904997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28866106 + ... + 28866158.

Almost surely, 21529904996 is an apocalyptic number.

1529904996 is the 39114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1529904996

1529904996 is an abundant number, since it is smaller than the sum of its proper divisors (2648302807).

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

1529904996 is an equidigital number, since it uses as much as digits as its factorization.

1529904996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The cubic root of 1529904996 is about 1152.2715017630.

The spelling of 1529904996 in words is "one billion, five hundred twenty-nine million, nine hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 81 82 106 108 123 159 162 164 212 246 318 324 369 477 492 636 738 954 1107 1431 1476 1681 1908 2173 2214 2809 2862 3321 3362 4293 4346 4428 5043 5618 5724 6519 6642 6724 8427 8586 8692 10086 11236 13038 13284 15129 16854 17172 19557 20172 25281 26076 30258 33708 39114 45387 50562 58671 60516 75843 78228 89093 90774 101124 115169 117342 136161 151686 176013 178186 181548 227529 230338 234684 267279 272322 303372 345507 352026 356372 455058 460676 534558 544644 691014 704052 801837 910116 1036521 1069116 1382028 1603674 2073042 2405511 3109563 3207348 4146084 4721929 4811022 6219126 7216533 9328689 9443858 9622044 12438252 14165787 14433066 18657378 18887716 28331574 28866132 37314756 42497361 56663148 84994722 127492083 169989444 254984166 382476249 509968332 764952498 1529904996