Search a number
-
+
90939688 = 23721132053
BaseRepresentation
bin1010110101110…
…10000100101000
320100010012210121
411122322010220
5141240032223
613005053024
72152655200
oct532720450
9210105717
1090939688
1147373374
1226557174
1315ac0888
14c113400
157eb515d
hex56ba128

90939688 has 48 divisors (see below), whose sum is σ = 200203380. Its totient is φ = 38610432.

The previous prime is 90939671. The next prime is 90939691. The reversal of 90939688 is 88693909.

It can be written as a sum of positive squares in 2 ways, for example, as 82047364 + 8892324 = 9058^2 + 2982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43270 + ... + 45322.

Almost surely, 290939688 is an apocalyptic number.

90939688 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90939688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101690).

90939688 is an abundant number, since it is smaller than the sum of its proper divisors (109263692).

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

90939688 is a wasteful number, since it uses less digits than its factorization.

90939688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 90939688 is about 9536.2302824544. The cubic root of 90939688 is about 449.6947526600.

It can be divided in two parts, 9093 and 9688, that added together give a palindrome (18781).

The spelling of 90939688 in words is "ninety million, nine hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 2053 3164 4106 5537 6328 8212 11074 14371 16424 22148 28742 44296 57484 100597 114968 201194 231989 402388 463978 804776 927956 1623923 1855912 3247846 6495692 11367461 12991384 22734922 45469844 90939688