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78903825 = 352711131051
BaseRepresentation
bin1001011001111…
…11101000010001
312111110201200220
410230333220101
5130144410300
611455103253
71645446210
oct454775021
9174421626
1078903825
11405a2680
1222511b29
1313468470
14a69d077
156dd8da0
hex4b3fa11

78903825 has 96 divisors (see below), whose sum is σ = 175322112. Its totient is φ = 30240000.

The previous prime is 78903821. The next prime is 78903829. The reversal of 78903825 is 52830987.

It is an interprime number because it is at equal distance from previous prime (78903821) and next prime (78903829).

It is not a de Polignac number, because 78903825 - 22 = 78903821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78903821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74550 + ... + 75600.

It is an arithmetic number, because the mean of its divisors is an integer number (1826272).

Almost surely, 278903825 is an apocalyptic number.

78903825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78903825 is an abundant number, since it is smaller than the sum of its proper divisors (96418287).

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

78903825 is a wasteful number, since it uses less digits than its factorization.

78903825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 78903825 is about 8882.7825032475. The cubic root of 78903825 is about 428.9098489667.

The spelling of 78903825 in words is "seventy-eight million, nine hundred three thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1051 1155 1365 1925 2145 2275 3003 3153 3575 5005 5255 5775 6825 7357 10725 11561 13663 15015 15765 22071 25025 26275 34683 36785 40989 57805 68315 75075 78825 80927 95641 110355 150293 173415 183925 204945 242781 286923 289025 341575 404635 450879 478205 551775 751465 867075 1024725 1052051 1213905 1434615 2023175 2254395 2391025 3156153 3757325 5260255 6069525 7173075 11271975 15780765 26301275 78903825