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906852996 = 2234722392
BaseRepresentation
bin110110000011010…
…111101010000100
32100012101220110000
4312003113222010
53324123243441
6225553001300
731321060200
oct6603275204
92305356400
10906852996
11425993095
12213853230
13115b55a0a
1488621b00
15549322b6
hex360d7a84

906852996 has 135 divisors (see below), whose sum is σ = 2769331719. Its totient is φ = 258016752.

The previous prime is 906852983. The next prime is 906853007. The reversal of 906852996 is 699258609.

The square root of 906852996 is 30114.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3794245 + ... + 3794483.

Almost surely, 2906852996 is an apocalyptic number.

906852996 is the 30114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906852996

906852996 is an abundant number, since it is smaller than the sum of its proper divisors (1862478723).

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

906852996 is a wasteful number, since it uses less digits than its factorization.

906852996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The cubic root of 906852996 is about 967.9337445830.

The spelling of 906852996 in words is "nine hundred six million, eight hundred fifty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 239 252 294 324 378 441 478 567 588 717 756 882 956 1134 1323 1434 1673 1764 2151 2268 2646 2868 3346 3969 4302 5019 5292 6453 6692 7938 8604 10038 11711 12906 15057 15876 19359 20076 23422 25812 30114 35133 38718 45171 46844 57121 60228 70266 77436 90342 105399 114242 135513 140532 171363 180684 210798 228484 271026 316197 342726 399847 421596 514089 542052 632394 685452 799694 948591 1028178 1199541 1264788 1542267 1599388 1897182 2056356 2399082 2798929 3084534 3598623 3794364 4626801 4798164 5597858 6169068 7197246 8396787 9253602 10795869 11195716 14394492 16793574 18507204 21591738 25190361 32387607 33587148 43183476 50380722 64775214 75571083 100761444 129550428 151142166 226713249 302284332 453426498 906852996