Search a number
-
+
972748 = 2273709
BaseRepresentation
bin11101101011111001100
31211102100201
43231133030
5222111443
632503244
711161000
oct3553714
91742321
10972748
11604927
123aab24
132809ba
141b4700
1514334d
hexed7cc

972748 has 24 divisors (see below), whose sum is σ = 1988000. Its totient is φ = 416304.

The previous prime is 972721. The next prime is 972787. The reversal of 972748 is 847279.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018 + ... + 1726.

2972748 is an apocalyptic number.

972748 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994000).

972748 is an abundant number, since it is smaller than the sum of its proper divisors (1015252).

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

972748 is a wasteful number, since it uses less digits than its factorization.

972748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 972748 is about 986.2798791418. The cubic root of 972748 is about 99.0832208444.

The spelling of 972748 in words is "nine hundred seventy-two thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 709 1372 1418 2836 4963 9926 19852 34741 69482 138964 243187 486374 972748