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990038784 = 2837613019
BaseRepresentation
bin111011000000101…
…100101100000000
32112222221011220010
4323000230230000
54011422220114
6242123544520
733351122310
oct7300545400
92488834803
10990038784
1146893a879
1223768b140
1312a160187
14956b7440
155bdb4c59
hex3b02cb00

990038784 has 144 divisors (see below), whose sum is σ = 3061748480. Its totient is φ = 278138880.

The previous prime is 990038783. The next prime is 990038807. The reversal of 990038784 is 487830099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (990038783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326427 + ... + 329445.

Almost surely, 2990038784 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 990038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530874240).

990038784 is an abundant number, since it is smaller than the sum of its proper divisors (2071709696).

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

990038784 is a wasteful number, since it uses less digits than its factorization.

990038784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 990038784 is about 31464.8817572862. The cubic root of 990038784 is about 996.6685081540.

It can be divided in two parts, 9900 and 38784, that added together give a palindrome (48684).

The spelling of 990038784 in words is "nine hundred ninety million, thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3019 3416 3904 5124 5376 5856 6038 6832 7808 9057 10248 11712 12076 13664 15616 18114 20496 21133 23424 24152 27328 36228 40992 42266 46848 48304 54656 63399 72456 81984 84532 96608 109312 126798 144912 163968 169064 184159 193216 253596 289824 327936 338128 368318 386432 507192 552477 579648 676256 736636 772864 1014384 1104954 1159296 1289113 1352512 1473272 2028768 2209908 2318592 2578226 2705024 2946544 3867339 4057536 4419816 5156452 5410048 5893088 7734678 8115072 8839632 10312904 11786176 15469356 16230144 17679264 20625808 23572352 30938712 35358528 41251616 47144704 61877424 70717056 82503232 123754848 141434112 165006464 247509696 330012928 495019392 990038784