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968748 = 2231141179
BaseRepresentation
bin11101100100000101100
31211012212120
43230200230
5221444443
632432540
711143224
oct3544054
91735776
10968748
11601920
123a8750
1327bc31
141b3084
15142083
hexec82c

968748 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 284800.

The previous prime is 968731. The next prime is 968761. The reversal of 968748 is 847869.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968748.

It is an unprimeable number.

968748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5323 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2968748 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 968748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

968748 is an abundant number, since it is smaller than the sum of its proper divisors (1571412).

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

968748 is a wasteful number, since it uses less digits than its factorization.

968748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 968748 is about 984.2499682499. The cubic root of 968748 is about 98.9472221492.

The spelling of 968748 in words is "nine hundred sixty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 179 246 358 451 492 537 716 902 1074 1353 1804 1969 2148 2706 3938 5412 5907 7339 7876 11814 14678 22017 23628 29356 44034 80729 88068 161458 242187 322916 484374 968748