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90514728 = 23323761557
BaseRepresentation
bin1010110010100…
…10010100101000
320022022121212100
411121102110220
5141132432403
612552013400
72146235223
oct531222450
9208277770
1090514728
1147103067
1226391260
13159a2315
14c0425ba
157e2e2a3
hex5652528

90514728 has 96 divisors (see below), whose sum is σ = 256356360. Its totient is φ = 28823040.

The previous prime is 90514703. The next prime is 90514733. The reversal of 90514728 is 82741509.

It can be written as a sum of positive squares in 4 ways, for example, as 52099524 + 38415204 = 7218^2 + 6198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90514692 and 90514701.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 162226 + ... + 162782.

Almost surely, 290514728 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 90514728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128178180).

90514728 is an abundant number, since it is smaller than the sum of its proper divisors (165841632).

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

90514728 is a wasteful number, since it uses less digits than its factorization.

90514728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90514728 is about 9513.9228502232. The cubic root of 90514728 is about 448.9931861076.

The spelling of 90514728 in words is "ninety million, five hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 183 222 244 296 333 366 444 488 549 557 666 732 888 1098 1114 1332 1464 1671 2196 2228 2257 2664 3342 4392 4456 4514 5013 6684 6771 9028 10026 13368 13542 18056 20052 20313 20609 27084 33977 40104 40626 41218 54168 61827 67954 81252 82436 101931 123654 135908 162504 164872 185481 203862 247308 271816 305793 370962 407724 494616 611586 741924 815448 1223172 1257149 1483848 2446344 2514298 3771447 5028596 7542894 10057192 11314341 15085788 22628682 30171576 45257364 90514728