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990486784 = 28722812
BaseRepresentation
bin111011000010011…
…010000100000000
32120000202221102201
4323002122010000
54012031034114
6242141322544
733354666400
oct7302320400
92500687381
10990486784
11469116421
12237866454
1312a289071
1495792800
155be52874
hex3b09a100

990486784 has 81 divisors (see below), whose sum is σ = 2308110861. Its totient is φ = 422983680.

The previous prime is 990486769. The next prime is 990486787. The reversal of 990486784 is 487684099.

The square root of 990486784 is 31472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 669360384 + 321126400 = 25872^2 + 17920^2 .

It is a super-3 number, since 3×9904867843 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (990486787) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3524724 + ... + 3525004.

Almost surely, 2990486784 is an apocalyptic number.

990486784 is the 31472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990486784

990486784 is an abundant number, since it is smaller than the sum of its proper divisors (1317624077).

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

990486784 is an frugal number, since it uses more digits than its factorization.

990486784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The cubic root of 990486784 is about 996.8188188174.

The spelling of 990486784 in words is "nine hundred ninety million, four hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 281 392 448 562 784 896 1124 1568 1792 1967 2248 3136 3934 4496 6272 7868 8992 12544 13769 15736 17984 27538 31472 35968 55076 62944 71936 78961 110152 125888 157922 220304 251776 315844 440608 503552 552727 631688 881216 1105454 1263376 1762432 2210908 2526752 3524864 3869089 4421816 5053504 7738178 8843632 10107008 15476356 17687264 20214016 30952712 35374528 61905424 70749056 123810848 141498112 247621696 495243392 990486784