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90885312 = 2632722541
BaseRepresentation
bin1010110101011…
…00110011000000
320100000110012200
411122230303000
5141231312222
613003553200
72152340520
oct532546300
9210013180
1090885312
1147336531
122652b800
1315aa1bbb
14c0db680
157ea3eac
hex56accc0

90885312 has 84 divisors (see below), whose sum is σ = 297734736. Its totient is φ = 25966080.

The previous prime is 90885307. The next prime is 90885317. The reversal of 90885312 is 21358809.

It is an interprime number because it is at equal distance from previous prime (90885307) and next prime (90885317).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (90885317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7239 + ... + 15302.

Almost surely, 290885312 is an apocalyptic number.

It is an amenable number.

90885312 is an abundant number, since it is smaller than the sum of its proper divisors (206849424).

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

90885312 is a wasteful number, since it uses less digits than its factorization.

90885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22566 (or 22553 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90885312 is about 9533.3788343902. The cubic root of 90885312 is about 449.6051054160.

It can be divided in two parts, 9088 and 5312, that added together give a square (14400 = 1202).

The spelling of 90885312 in words is "ninety million, eight hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 22541 45082 67623 90164 135246 157787 180328 202869 270492 315574 360656 405738 473361 540984 631148 721312 811476 946722 1081968 1262296 1420083 1442624 1622952 1893444 2163936 2524592 2840166 3245904 3786888 4327872 5049184 5680332 6491808 7573776 10098368 11360664 12983616 15147552 22721328 30295104 45442656 90885312