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972913830 = 23579294987
BaseRepresentation
bin111001111111010…
…111110010100110
32111210201010212120
4321333113302212
53443031220310
6240312530410
733052426320
oct7177276246
92453633776
10972913830
1145a203619
122319b0a06
13126745575
14932da610
155a630b70
hex39fd7ca6

972913830 has 64 divisors (see below), whose sum is σ = 2671971840. Its totient is φ = 222096384.

The previous prime is 972913807. The next prime is 972913831. The reversal of 972913830 is 38319279.

It is a super-2 number, since 2×9729138302 = 1893122641210537800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972913831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192597 + ... + 197583.

It is an arithmetic number, because the mean of its divisors is an integer number (41749560).

Almost surely, 2972913830 is an apocalyptic number.

972913830 is an abundant number, since it is smaller than the sum of its proper divisors (1699058010).

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

972913830 is a wasteful number, since it uses less digits than its factorization.

972913830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 972913830 is about 31191.5666486953. The cubic root of 972913830 is about 990.8885095515. Note that the first 3 decimals are identical.

The spelling of 972913830 in words is "nine hundred seventy-two million, nine hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 929 1858 2787 4645 4987 5574 6503 9290 9974 13006 13935 14961 19509 24935 27870 29922 32515 34909 39018 49870 65030 69818 74805 97545 104727 149610 174545 195090 209454 349090 523635 1047270 4632923 9265846 13898769 23164615 27797538 32430461 46329230 64860922 69493845 97291383 138987690 162152305 194582766 324304610 486456915 972913830