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79966952 = 231323101331
BaseRepresentation
bin1001100010000…
…11001011101000
312120110202000222
410301003023220
5130432420302
611533545212
71660464542
oct461031350
9176422028
1079966952
114115939a
1222945208
131374b330
14a898692
157048da2
hex4c432e8

79966952 has 64 divisors (see below), whose sum is σ = 170674560. Its totient is φ = 34848000.

The previous prime is 79966927. The next prime is 79966961. The reversal of 79966952 is 25966997.

It is a junction number, because it is equal to n+sod(n) for n = 79966894 and 79966903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241427 + ... + 241757.

It is an arithmetic number, because the mean of its divisors is an integer number (2666790).

Almost surely, 279966952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79966952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85337280).

79966952 is an abundant number, since it is smaller than the sum of its proper divisors (90707608).

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

79966952 is a wasteful number, since it uses less digits than its factorization.

79966952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 53.

The square root of 79966952 is about 8942.4242798024. The cubic root of 79966952 is about 430.8275967030.

The spelling of 79966952 in words is "seventy-nine million, nine hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 101 104 184 202 299 331 404 598 662 808 1196 1313 1324 2323 2392 2626 2648 4303 4646 5252 7613 8606 9292 10504 15226 17212 18584 30199 30452 33431 34424 60398 60904 66862 98969 120796 133724 197938 241592 267448 395876 434603 768913 791752 869206 1537826 1738412 3075652 3476824 6151304 9995869 19991738 39983476 79966952