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90465912 = 233253151157
BaseRepresentation
bin1010110010001…
…10011001111000
320022020010220100
411121012121320
5141124402122
612550555400
72145643005
oct531063170
9208203810
1090465912
114707a419
1226368b60
1315986034
14c02c8ac
157e1eaac
hex5646678

90465912 has 96 divisors (see below), whose sum is σ = 252888480. Its totient is φ = 29203200.

The previous prime is 90465911. The next prime is 90465913. The reversal of 90465912 is 21956409.

It is an interprime number because it is at equal distance from previous prime (90465911) and next prime (90465913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90465911) 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, 576138 + ... + 576294.

It is an arithmetic number, because the mean of its divisors is an integer number (2634255).

Almost surely, 290465912 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 90465912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126444240).

90465912 is an abundant number, since it is smaller than the sum of its proper divisors (162422568).

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

90465912 is a wasteful number, since it uses less digits than its factorization.

90465912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90465912 is about 9511.3570009752. The cubic root of 90465912 is about 448.9124552576.

The spelling of 90465912 in words is "ninety million, four hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 151 157 159 212 302 314 318 424 453 471 477 604 628 636 906 942 954 1208 1256 1272 1359 1413 1812 1884 1908 2718 2826 3624 3768 3816 5436 5652 8003 8321 10872 11304 16006 16642 23707 24009 24963 32012 33284 47414 48018 49926 64024 66568 71121 72027 74889 94828 96036 99852 142242 144054 149778 189656 192072 199704 213363 284484 288108 299556 426726 568968 576216 599112 853452 1256471 1706904 2512942 3769413 5025884 7538826 10051768 11308239 15077652 22616478 30155304 45232956 90465912