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990431904 = 253721119141
BaseRepresentation
bin111011000010001…
…100101010100000
32120000200011011010
4323002030222200
54012022310104
6242140220520
733354350400
oct7302145240
92500604133
10990431904
11469089170
1223783a740
1312a26a0a7
149577a800
155be41489
hex3b08caa0

990431904 has 144 divisors (see below), whose sum is σ = 3299468256. Its totient is φ = 257241600.

The previous prime is 990431899. The next prime is 990431909. The reversal of 990431904 is 409134099.

It is an interprime number because it is at equal distance from previous prime (990431899) and next prime (990431909).

It is a super-2 number, since 2×9904319042 = 1961910712922130432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990431909) 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, 42174 + ... + 61314.

It is an arithmetic number, because the mean of its divisors is an integer number (22912974).

Almost surely, 2990431904 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 990431904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649734128).

990431904 is an abundant number, since it is smaller than the sum of its proper divisors (2309036352).

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

990431904 is a wasteful number, since it uses less digits than its factorization.

990431904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19179 (or 19164 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 990431904 is about 31471.1281018015. The cubic root of 990431904 is about 996.8004081975.

The spelling of 990431904 in words is "nine hundred ninety million, four hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 19141 25872 38282 51744 57423 76564 114846 133987 153128 210551 229692 267974 306256 401961 421102 459384 535948 612512 631653 803922 842204 918768 937909 1071896 1263306 1473857 1607844 1684408 1837536 1875818 2143792 2526612 2813727 2947714 3215688 3368816 3751636 4287584 4421571 5053224 5627454 5895428 6431376 6737632 7503272 8843142 10106448 10316999 11254908 11790856 12862752 15006544 17686284 20212896 20633998 22509816 23581712 30013088 30950997 35372568 41267996 45019632 47163424 61901994 70745136 82535992 90039264 123803988 141490272 165071984 247607976 330143968 495215952 990431904