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90982416 = 24372101383
BaseRepresentation
bin1010110110001…
…00100000010000
320100012101102010
411123010200100
5141242414131
613010022520
72153223600
oct533044020
9210171363
1090982416
11473a2488
1226577a40
1315b07165
14c124c00
157ec2b46
hex56c4810

90982416 has 120 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 25670400.

The previous prime is 90982391. The next prime is 90982417. The reversal of 90982416 is 61428909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90982417) 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, 237361 + ... + 237743.

Almost surely, 290982416 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 90982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

90982416 is an abundant number, since it is smaller than the sum of its proper divisors (185857008).

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

90982416 is a wasteful number, since it uses less digits than its factorization.

90982416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 90982416 is about 9538.4703176138. The cubic root of 90982416 is about 449.7651713051.

The spelling of 90982416 in words is "ninety million, nine hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 101 112 147 168 196 202 294 303 336 383 392 404 588 606 707 766 784 808 1149 1176 1212 1414 1532 1616 2121 2298 2352 2424 2681 2828 3064 4242 4596 4848 4949 5362 5656 6128 8043 8484 9192 9898 10724 11312 14847 16086 16968 18384 18767 19796 21448 29694 32172 33936 37534 38683 39592 42896 56301 59388 64344 75068 77366 79184 112602 116049 118776 128688 150136 154732 225204 232098 237552 270781 300272 309464 450408 464196 541562 618928 812343 900816 928392 1083124 1624686 1856784 1895467 2166248 3249372 3790934 4332496 5686401 6498744 7581868 11372802 12997488 15163736 22745604 30327472 45491208 90982416