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972648 = 23341979
BaseRepresentation
bin11101101011101101000
31211102020000
43231131220
5222111043
632503000
711160465
oct3553550
91742200
10972648
11604846
123aaa60
13280941
141b466c
151432d3
hexed768

972648 has 80 divisors (see below), whose sum is σ = 2904000. Its totient is φ = 303264.

The previous prime is 972637. The next prime is 972649. The reversal of 972648 is 846279.

972648 is a `hidden beast` number, since 9 + 7 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972648.

It is not an unprimeable number, because it can be changed into a prime (972649) by changing a digit.

972648 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 19 ways as a sum of consecutive naturals, for example, 12273 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (36300).

2972648 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 972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452000).

972648 is an abundant number, since it is smaller than the sum of its proper divisors (1931352).

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

972648 is a wasteful number, since it uses less digits than its factorization.

972648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 972648 is about 986.2291822898. The cubic root of 972648 is about 99.0798254252.

The spelling of 972648 in words is "nine hundred seventy-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 81 108 114 152 158 162 171 216 228 237 316 324 342 456 474 513 632 648 684 711 948 1026 1368 1422 1501 1539 1896 2052 2133 2844 3002 3078 4104 4266 4503 5688 6004 6156 6399 8532 9006 12008 12312 12798 13509 17064 18012 25596 27018 36024 40527 51192 54036 81054 108072 121581 162108 243162 324216 486324 972648