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790972 = 227134153
BaseRepresentation
bin11000001000110111100
31111012000021
43001012330
5200302342
624541524
76503020
oct3010674
91435007
10790972
114a02a6
123218a4
13219040
14168380
15109567
hexc11bc

790972 has 48 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 299520.

The previous prime is 790969. The next prime is 790991. The reversal of 790972 is 279097.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14898 + ... + 14950.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2790972 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 790972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

790972 is an abundant number, since it is smaller than the sum of its proper divisors (987140).

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

790972 is a wasteful number, since it uses less digits than its factorization.

790972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 790972 is about 889.3660663641. The cubic root of 790972 is about 92.4812525922.

It can be divided in two parts, 7 and 90972, that multiplied together give a square (636804 = 7982).

The spelling of 790972 in words is "seven hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 53 82 91 106 164 182 212 287 364 371 533 574 689 742 1066 1148 1378 1484 2132 2173 2756 3731 4346 4823 7462 8692 9646 14924 15211 19292 28249 30422 56498 60844 112996 197743 395486 790972