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7901985 = 357213827
BaseRepresentation
bin11110001001001100100001
3112212110111010
4132021030201
54010330420
6441211133
7124110600
oct36111441
915773433
107901985
114507973
122790aa9
131838940
141099a37
15a614e0
hex789321

7901985 has 48 divisors (see below), whose sum is σ = 15857856. Its totient is φ = 3330432.

The previous prime is 7901983. The next prime is 7901989. The reversal of 7901985 is 5891097.

It is a happy number.

It is not a de Polignac number, because 7901985 - 21 = 7901983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7901983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9142 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (330372).

Almost surely, 27901985 is an apocalyptic number.

It is an amenable number.

7901985 is an abundant number, since it is smaller than the sum of its proper divisors (7955871).

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

7901985 is a wasteful number, since it uses less digits than its factorization.

7901985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 7901985 is about 2811.0469579856. The cubic root of 7901985 is about 199.1798496980.

It can be divided in two parts, 790 and 1985, that added together give a triangular number (2775 = T74).

The spelling of 7901985 in words is "seven million, nine hundred one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 827 1365 1911 2481 3185 4135 5789 9555 10751 12405 17367 28945 32253 40523 53755 75257 86835 121569 161265 202615 225771 376285 526799 607845 1128855 1580397 2633995 7901985