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708972 = 2231141131
BaseRepresentation
bin10101101000101101100
31100000112020
42231011230
5140141342
623110140
76011655
oct2550554
91300466
10708972
11444730
122a2350
131ba914
1414652c
15e00ec
hexad16c

708972 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 208000.

The previous prime is 708959. The next prime is 708979. The reversal of 708972 is 279807.

708972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (708979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347 + ... + 5477.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2708972 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 708972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

708972 is an abundant number, since it is smaller than the sum of its proper divisors (1153812).

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

708972 is a wasteful number, since it uses less digits than its factorization.

708972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 708972 is about 842.0047505804. The cubic root of 708972 is about 89.1681373191.

The spelling of 708972 in words is "seven hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 131 132 164 246 262 393 451 492 524 786 902 1353 1441 1572 1804 2706 2882 4323 5371 5412 5764 8646 10742 16113 17292 21484 32226 59081 64452 118162 177243 236324 354486 708972