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990476448 = 253134318457
BaseRepresentation
bin111011000010010…
…111100010100000
32120000202102020220
4323002113202200
54012030221243
6242141203040
733354624303
oct7302274240
92500672226
10990476448
11469109685
12237860480
1312a284450
149578cb3a
155be4e783
hex3b0978a0

990476448 has 96 divisors (see below), whose sum is σ = 2865272256. Its totient is φ = 297658368.

The previous prime is 990476447. The next prime is 990476471. The reversal of 990476448 is 844674099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 990476448.

It is not an unprimeable number, because it can be changed into a prime (990476447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44436 + ... + 62892.

It is an arithmetic number, because the mean of its divisors is an integer number (29846586).

Almost surely, 2990476448 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 990476448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432636128).

990476448 is an abundant number, since it is smaller than the sum of its proper divisors (1874795808).

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

990476448 is a wasteful number, since it uses less digits than its factorization.

990476448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526 (or 18518 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 990476448 is about 31471.8357901156. The cubic root of 990476448 is about 996.8153514465.

The spelling of 990476448 in words is "nine hundred ninety million, four hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 18457 26832 36914 53664 55371 73828 110742 147656 221484 239941 295312 442968 479882 590624 719823 793651 885936 959764 1439646 1587302 1771872 1919528 2380953 2879292 3174604 3839056 4761906 5758584 6349208 7678112 9523812 10317463 11517168 12698416 19047624 20634926 23034336 25396832 30952389 38095248 41269852 61904778 76190496 82539704 123809556 165079408 247619112 330158816 495238224 990476448