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7830082152 = 23321033105277
BaseRepresentation
bin1110100101011010…
…11001001001101000
3202012200200101102200
413102231121021220
5112014000112102
63332545500200
7365015412564
oct72255311150
922180611380
107830082152
113358971682
121626341660
1397a28c309
14543cb66a4
1530c63451c
hex1d2b59268

7830082152 has 48 divisors (see below), whose sum is σ = 21227203140. Its totient is φ = 2607475968.

The previous prime is 7830082151. The next prime is 7830082159. The reversal of 7830082152 is 2512800387.

It can be written as a sum of positive squares in 2 ways, for example, as 7176461796 + 653620356 = 84714^2 + 25566^2 .

It is a super-2 number, since 2×78300821522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7830082151) 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, 21738 + ... + 127014.

Almost surely, 27830082152 is an apocalyptic number.

7830082152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7830082152 is an abundant number, since it is smaller than the sum of its proper divisors (13397120988).

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

7830082152 is a wasteful number, since it uses less digits than its factorization.

7830082152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106322 (or 106315 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7830082152 is about 88487.7514235727. The cubic root of 7830082152 is about 1985.7387291191.

The spelling of 7830082152 in words is "seven billion, eight hundred thirty million, eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 37188 74376 105277 210554 315831 421108 631662 842216 947493 1263324 1894986 2526648 3789972 7579944 108751141 217502282 326253423 435004564 652506846 870009128 978760269 1305013692 1957520538 2610027384 3915041076 7830082152