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90993184 = 2529313163
BaseRepresentation
bin1010110110001…
…11001000100000
320100012221011221
411123013020200
5141243240214
613010144424
72153300152
oct533071040
9210187157
1090993184
11473aa587
1226582114
1315b0c029
14c128ad2
157ec5e24
hex56c7220

90993184 has 48 divisors (see below), whose sum is σ = 191358720. Its totient is φ = 42497280.

The previous prime is 90993181. The next prime is 90993193. The reversal of 90993184 is 48139909.

It is a self number, because there is not a number n which added to its sum of digits gives 90993184.

It is not an unprimeable number, because it can be changed into a prime (90993181) 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 7 ways as a sum of consecutive naturals, for example, 27187 + ... + 30349.

It is an arithmetic number, because the mean of its divisors is an integer number (3986640).

Almost surely, 290993184 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 90993184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95679360).

90993184 is an abundant number, since it is smaller than the sum of its proper divisors (100365536).

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

90993184 is a wasteful number, since it uses less digits than its factorization.

90993184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 90993184 is about 9539.0347520071. The cubic root of 90993184 is about 449.7829142219.

The spelling of 90993184 in words is "ninety million, nine hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3163 3596 6326 7192 12652 14384 25304 28768 50608 91727 98053 101216 183454 196106 366908 392212 733816 784424 1467632 1568848 2843537 2935264 3137696 5687074 11374148 22748296 45496592 90993184