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990673944 = 233132317879
BaseRepresentation
bin111011000011000…
…111110000011000
32120001010110011120
4323003013300120
54012103031234
6242145325240
733356406141
oct7303076030
92501113146
10990673944
11469233aa7
12237936820
1312a323300
1495800ac8
155be8d049
hex3b0c7c18

990673944 has 96 divisors (see below), whose sum is σ = 2768716800. Its totient is φ = 294952320.

The previous prime is 990673921. The next prime is 990673949. The reversal of 990673944 is 449376099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990673949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121797 + ... + 129675.

It is an arithmetic number, because the mean of its divisors is an integer number (28840800).

Almost surely, 2990673944 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 990673944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384358400).

990673944 is an abundant number, since it is smaller than the sum of its proper divisors (1778042856).

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

990673944 is a wasteful number, since it uses less digits than its factorization.

990673944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 990673944 is about 31474.9732962556. The cubic root of 990673944 is about 996.8816003585.

The spelling of 990673944 in words is "nine hundred ninety million, six hundred seventy-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1209 1352 1612 2028 2418 3224 4056 4836 5239 7879 9672 10478 15717 15758 20956 23637 31434 31516 41912 47274 62868 63032 94548 102427 125736 189096 204854 244249 307281 409708 488498 614562 732747 819416 976996 1229124 1331551 1465494 1953992 2458248 2663102 2930988 3175237 3994653 5326204 5861976 6350474 7989306 9525711 10652408 12700948 15978612 19051422 25401896 31957224 38102844 41278081 76205688 82556162 123834243 165112324 247668486 330224648 495336972 990673944