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77930325 = 32521123372
BaseRepresentation
bin1001010010100…
…01111101010101
312102122021022100
410221101331111
5124422232300
611422152313
71634253054
oct451217525
9172567270
1077930325
113aa98230
1222122699
13131b7325
14a4c839b
156c95700
hex4a51f55

77930325 has 108 divisors (see below), whose sum is σ = 163302048. Its totient is φ = 35164800.

The previous prime is 77930323. The next prime is 77930341. The reversal of 77930325 is 52303977.

It is a happy number.

It is not a de Polignac number, because 77930325 - 21 = 77930323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77930325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77930323) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2106207 + ... + 2106243.

It is an arithmetic number, because the mean of its divisors is an integer number (1512056).

Almost surely, 277930325 is an apocalyptic number.

77930325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77930325 is an abundant number, since it is smaller than the sum of its proper divisors (85371723).

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

77930325 is a wasteful number, since it uses less digits than its factorization.

77930325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 77930325 is about 8827.8154149257. The cubic root of 77930325 is about 427.1386091189.

The spelling of 77930325 in words is "seventy-seven million, nine hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 37 45 55 69 75 99 111 115 165 185 207 225 253 275 333 345 407 495 555 575 759 825 851 925 1035 1221 1265 1369 1665 1725 2035 2277 2475 2553 2775 3663 3795 4107 4255 5175 6105 6325 6845 7659 8325 9361 10175 11385 12321 12765 15059 18315 18975 20535 21275 28083 30525 31487 34225 38295 45177 46805 56925 61605 63825 75295 84249 91575 94461 102675 135531 140415 157435 191475 225885 234025 283383 308025 346357 376475 421245 472305 677655 702075 787175 1039071 1129425 1416915 1731785 2106225 2361525 3117213 3388275 5195355 7084575 8658925 15586065 25976775 77930325