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990048816 = 243267891153
BaseRepresentation
bin111011000000101…
…111001000110000
32112222221200122200
4323000233020300
54011423030231
6242124103200
733351163461
oct7300571060
92488850580
10990048816
11468947369
12237694b00
1312a164903
14956bad68
155bdb7be6
hex3b02f230

990048816 has 120 divisors (see below), whose sum is σ = 2846179440. Its totient is φ = 321159168.

The previous prime is 990048811. The next prime is 990048841. The reversal of 990048816 is 618840099.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990048811) 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 23 ways as a sum of consecutive naturals, for example, 858096 + ... + 859248.

It is an arithmetic number, because the mean of its divisors is an integer number (23718162).

Almost surely, 2990048816 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 990048816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423089720).

990048816 is an abundant number, since it is smaller than the sum of its proper divisors (1856130624).

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

990048816 is a wasteful number, since it uses less digits than its factorization.

990048816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 990048816 is about 31465.0411727047. The cubic root of 990048816 is about 996.6718745355.

The spelling of 990048816 in words is "nine hundred ninety million, forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 89 134 144 178 201 267 268 356 402 534 536 603 712 801 804 1068 1072 1153 1206 1424 1602 1608 2136 2306 2412 3204 3216 3459 4272 4612 4824 5963 6408 6918 9224 9648 10377 11926 12816 13836 17889 18448 20754 23852 27672 35778 41508 47704 53667 55344 71556 77251 83016 95408 102617 107334 143112 154502 166032 205234 214668 231753 286224 307851 309004 410468 429336 463506 615702 618008 695259 820936 858672 923553 927012 1231404 1236016 1390518 1641872 1847106 1854024 2462808 2781036 3694212 3708048 4925616 5562072 6875339 7388424 11124144 13750678 14776848 20626017 27501356 41252034 55002712 61878051 82504068 110005424 123756102 165008136 247512204 330016272 495024408 990048816