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973117044 = 223323338671
BaseRepresentation
bin111010000000001…
…001011001110100
32111211002110122000
4322000021121310
53443104221134
6240321135300
733054233634
oct7200113164
92454073560
10973117044
1145a332269
12231a8a530
131267b6c03
14933506c4
155a670e99
hex3a009674

973117044 has 48 divisors (see below), whose sum is σ = 2533789440. Its totient is φ = 322971840.

The previous prime is 973117039. The next prime is 973117073. The reversal of 973117044 is 440711379.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5829 + ... + 44499.

It is an arithmetic number, because the mean of its divisors is an integer number (52787280).

Almost surely, 2973117044 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 973117044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266894720).

973117044 is an abundant number, since it is smaller than the sum of its proper divisors (1560672396).

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

973117044 is a wasteful number, since it uses less digits than its factorization.

973117044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38917 (or 38909 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 973117044 is about 31194.8239937333. The cubic root of 973117044 is about 990.9574942151.

The spelling of 973117044 in words is "nine hundred seventy-three million, one hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 2097 2796 4194 6291 8388 12582 25164 38671 77342 116013 154684 232026 348039 464052 696078 1044117 1392156 2088234 4176468 9010343 18020686 27031029 36041372 54062058 81093087 108124116 162186174 243279261 324372348 486558522 973117044