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39340739025 = 32527218892
BaseRepresentation
bin100100101000111001…
…000000100111010001
310202112201112121110100
4210220321000213101
51121032212122100
630023424323013
72561620523100
oct445071004721
9122481477410
1039340739025
1115758904565
12775b173469
13392c608203
141c92bda037
151053bb0400
hex928e409d1

39340739025 has 81 divisors (see below), whose sum is σ = 82011316881. Its totient is φ = 17974817280.

The previous prime is 39340738973. The next prime is 39340739027. The reversal of 39340739025 is 52093704393.

The square root of 39340739025 is 198345.

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 1001532609 + 38339206416 = 31647^2 + 195804^2 .

It is not a de Polignac number, because 39340739025 - 235 = 4981000657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39340739027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20825281 + ... + 20827169.

Almost surely, 239340739025 is an apocalyptic number.

39340739025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39340739025 is the 198345-th square number.

39340739025 is the 99173-rd centered octagonal number.

It is an amenable number.

39340739025 is an abundant number, since it is smaller than the sum of its proper divisors (42670577856).

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

39340739025 is an equidigital number, since it uses as much as digits as its factorization.

39340739025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 39340739025 in words is "thirty-nine billion, three hundred forty million, seven hundred thirty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1889 2205 3675 5667 9445 11025 13223 17001 28335 39669 47225 66115 85005 92561 119007 141675 198345 277683 330575 425025 462805 595035 833049 991725 1388415 2314025 2975175 3568321 4165245 6942075 10704963 17841605 20826225 24978247 32114889 53524815 74934741 89208025 124891235 160574445 174847729 224804223 267624075 374673705 524543187 624456175 802872225 874238645 1124021115 1573629561 1873368525 2622715935 4371193225 5620105575 7868147805 13113579675 39340739025