Search a number
-
+
972848352 = 25372206813
BaseRepresentation
bin111001111111000…
…111110011100000
32111210120211001110
4321333013303200
53443022121402
6240311303320
733052034400
oct7177076340
92453524043
10972848352
1145a169403
1223197ab40
13126721818
14932c0800
155a61b56c
hex39fc7ce0

972848352 has 72 divisors (see below), whose sum is σ = 2970676296. Its totient is φ = 277955328.

The previous prime is 972848299. The next prime is 972848399. The reversal of 972848352 is 253848279.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98703 + ... + 108110.

It is an arithmetic number, because the mean of its divisors is an integer number (41259393).

Almost surely, 2972848352 is an apocalyptic number.

It is an amenable number.

972848352 is an abundant number, since it is smaller than the sum of its proper divisors (1997827944).

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

972848352 is a wasteful number, since it uses less digits than its factorization.

972848352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206840 (or 206825 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 972848352 is about 31190.5170204022. The cubic root of 972848352 is about 990.8662798153.

The spelling of 972848352 in words is "nine hundred seventy-two million, eight hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 206813 413626 620439 827252 1240878 1447691 1654504 2481756 2895382 3309008 4343073 4963512 5790764 6618016 8686146 9927024 10133837 11581528 17372292 19854048 20267674 23163056 30401511 34744584 40535348 46326112 60803022 69489168 81070696 121606044 138978336 162141392 243212088 324282784 486424176 972848352