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2528715096 = 23321032291489
BaseRepresentation
bin1001011010111001…
…0010000101011000
320112020020000222200
42112232102011120
520134322340341
61054531050200
7116443503135
oct22656220530
96466200880
102528715096
111088437096
125a6a40960
13313b7462b
1419dba758c
15ebeeddb6
hex96b92158

2528715096 has 96 divisors (see below), whose sum is σ = 6949956000. Its totient is φ = 830518272.

The previous prime is 2528715067. The next prime is 2528715097. The reversal of 2528715096 is 6905178252.

2528715096 is a `hidden beast` number, since 2 + 528 + 71 + 50 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528715097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697520 + ... + 1699008.

It is an arithmetic number, because the mean of its divisors is an integer number (72395375).

Almost surely, 22528715096 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 2528715096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474978000).

2528715096 is an abundant number, since it is smaller than the sum of its proper divisors (4421240904).

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

2528715096 is a wasteful number, since it uses less digits than its factorization.

2528715096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2528715096 is about 50286.3311049832. The cubic root of 2528715096 is about 1362.3853567485.

The spelling of 2528715096 in words is "two billion, five hundred twenty-eight million, seven hundred fifteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 229 309 412 458 618 687 824 916 927 1236 1374 1489 1832 1854 2061 2472 2748 2978 3708 4122 4467 5496 5956 7416 8244 8934 11912 13401 16488 17868 23587 26802 35736 47174 53604 70761 94348 107208 141522 153367 188696 212283 283044 306734 340981 424566 460101 566088 613468 681962 849132 920202 1022943 1226936 1363924 1380303 1698264 1840404 2045886 2727848 2760606 3068829 3680808 4091772 5521212 6137658 8183544 11042424 12275316 24550632 35121043 70242086 105363129 140484172 210726258 280968344 316089387 421452516 632178774 842905032 1264357548 2528715096