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90002088 = 233211195981
BaseRepresentation
bin1010101110101…
…01001010101000
320021100120122200
411113111022220
5141020031323
612533020200
72142001521
oct527251250
9207316580
1090002088
11468929a0
1226184660
1315852b97
14bd4b848
157d7c443
hex55d52a8

90002088 has 96 divisors (see below), whose sum is σ = 279957600. Its totient is φ = 25833600.

The previous prime is 90002041. The next prime is 90002089. The reversal of 90002088 is 88020009.

It is not an unprimeable number, because it can be changed into a prime (90002089) 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, 12058 + ... + 18038.

It is an arithmetic number, because the mean of its divisors is an integer number (2916225).

Almost surely, 290002088 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 90002088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139978800).

90002088 is an abundant number, since it is smaller than the sum of its proper divisors (189955512).

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

90002088 is a wasteful number, since it uses less digits than its factorization.

90002088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90002088 is about 9486.9430271294. The cubic root of 90002088 is about 448.1439402486.

The spelling of 90002088 in words is "ninety million, two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 5981 7524 11962 15048 17943 23924 35886 47848 53829 65791 71772 107658 113639 131582 143544 197373 215316 227278 263164 340917 394746 430632 454556 526328 592119 681834 789492 909112 1022751 1184238 1250029 1363668 1578984 2045502 2368476 2500058 2727336 3750087 4091004 4736952 5000116 7500174 8182008 10000232 11250261 15000348 22500522 30000696 45001044 90002088