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8318352025 = 52172292372
BaseRepresentation
bin1111011111100111…
…11111101010011001
3210110201110001210001
413233303333222121
5114013444231100
63453231053001
7413064553114
oct75763775231
923421401701
108318352025
113589546aa5
121741971161
13a274981b9
1458ca9757b
1533a431d6a
hex1efcffa99

8318352025 has 81 divisors (see below), whose sum is σ = 11663054949. Its totient is φ = 5883816960.

The previous prime is 8318352013. The next prime is 8318352037. The reversal of 8318352025 is 5202538138.

The square root of 8318352025 is 91205.

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

It is an interprime number because it is at equal distance from previous prime (8318352013) and next prime (8318352037).

It can be written as a sum of positive squares in 40 ways, for example, as 5407102089 + 2911249936 = 73533^2 + 53956^2 .

It is a de Polignac number, because none of the positive numbers 2k-8318352025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224820307 + ... + 224820343.

Almost surely, 28318352025 is an apocalyptic number.

8318352025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8318352025 is the 91205-th square number.

8318352025 is the 45603-rd centered octagonal number.

It is an amenable number.

8318352025 is a deficient number, since it is larger than the sum of its proper divisors (3344702924).

8318352025 is a wasteful number, since it uses less digits than its factorization.

8318352025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The cubic root of 8318352025 is about 2026.1850118375.

Multiplying 8318352025 by its product of nonzero digits (57600), we get a square (479137076640000 = 218892002).

The spelling of 8318352025 in words is "eight billion, three hundred eighteen million, three hundred fifty-two thousand, twenty-five".

Divisors: 1 5 17 25 29 37 85 145 185 289 425 493 629 725 841 925 1073 1369 1445 2465 3145 4205 5365 6845 7225 8381 10693 12325 14297 15725 18241 21025 23273 26825 31117 34225 39701 41905 53465 71485 91205 116365 155585 198505 209525 243049 267325 310097 357425 395641 456025 528989 581825 674917 777925 992525 1151329 1215245 1550485 1978205 2644945 3374585 5756645 6076225 7752425 8992813 9891025 11473589 13224725 16872925 19572593 28783225 44964065 57367945 97862965 224820325 286839725 332734081 489314825 1663670405 8318352025