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90248994 = 232113797127
BaseRepresentation
bin1010110000100…
…01011100100010
320021211010100100
411120101130202
5141100431434
612542203230
72144050413
oct530213442
9207733310
1090248994
1146a41450
1226283516
131590b394
14bdb380a
157dca699
hex5611722

90248994 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 26127360.

The previous prime is 90248989. The next prime is 90248999. The reversal of 90248994 is 49984209.

90248994 = T452 + T453 + ... + T858.

It is an interprime number because it is at equal distance from previous prime (90248989) and next prime (90248999).

It is not an unprimeable number, because it can be changed into a prime (90248999) 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 47 ways as a sum of consecutive naturals, for example, 710559 + ... + 710685.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 290248994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90248994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

90248994 is an abundant number, since it is smaller than the sum of its proper divisors (132833502).

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

90248994 is a wasteful number, since it uses less digits than its factorization.

90248994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 90248994 is about 9499.9470524840. The cubic root of 90248994 is about 448.5533692638.

The spelling of 90248994 in words is "ninety million, two hundred forty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 97 99 111 127 194 198 222 254 291 333 381 407 582 666 762 814 873 1067 1143 1221 1397 1746 2134 2286 2442 2794 3201 3589 3663 4191 4699 6402 7178 7326 8382 9398 9603 10767 12319 12573 14097 19206 21534 24638 25146 28194 32301 36957 39479 42291 51689 64602 73914 78958 84582 103378 110871 118437 135509 155067 221742 236874 271018 310134 355311 406527 455803 465201 710622 813054 911606 930402 1219581 1367409 2439162 2734818 4102227 5013833 8204454 10027666 15041499 30082998 45124497 90248994