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90687744 = 283275623
BaseRepresentation
bin1010110011111…
…00100100000000
320022122102012100
411121330210000
5141204001434
612555430400
72150555520
oct531744400
9208572170
1090687744
1147211054
1226455400
1315a32cb4
14c089680
157e65699
hex567c900

90687744 has 108 divisors (see below), whose sum is σ = 298881856. Its totient is φ = 25906176.

The previous prime is 90687739. The next prime is 90687749. The reversal of 90687744 is 44778609.

It is an interprime number because it is at equal distance from previous prime (90687739) and next prime (90687749).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90687744.

It is not an unprimeable number, because it can be changed into a prime (90687749) 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 11 ways as a sum of consecutive naturals, for example, 13317 + ... + 18939.

Almost surely, 290687744 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 90687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149440928).

90687744 is an abundant number, since it is smaller than the sum of its proper divisors (208194112).

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

90687744 is a wasteful number, since it uses less digits than its factorization.

90687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 90687744 is about 9523.0112884528. The cubic root of 90687744 is about 449.2790827166.

The spelling of 90687744 in words is "ninety million, six hundred eighty-seven thousand, seven hundred forty-four".

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 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 5623 8064 11246 16128 16869 22492 33738 39361 44984 50607 67476 78722 89968 101214 118083 134952 157444 179936 202428 236166 269904 314888 354249 359872 404856 472332 539808 629776 708498 719744 809712 944664 1079616 1259552 1416996 1439488 1619424 1889328 2159232 2519104 2833992 3238848 3778656 4318464 5038208 5667984 6477696 7557312 10076416 11335968 12955392 15114624 22671936 30229248 45343872 90687744