Search a number
-
+
90047944 = 23723151463
BaseRepresentation
bin1010101111000…
…00010111001000
320021102220120001
411113200113020
5141023013234
612534012344
72142252310
oct527402710
9207386501
1090047944
1146914398
12261a70b4
131586aa0c
14bd60440
157d8ad14
hex55e05c8

90047944 has 64 divisors (see below), whose sum is σ = 203120640. Its totient is φ = 36590400.

The previous prime is 90047941. The next prime is 90047989. The reversal of 90047944 is 44974009.

It is not an unprimeable number, because it can be changed into a prime (90047941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194257 + ... + 194719.

It is an arithmetic number, because the mean of its divisors is an integer number (3173760).

Almost surely, 290047944 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 90047944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101560320).

90047944 is an abundant number, since it is smaller than the sum of its proper divisors (113072696).

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

90047944 is a wasteful number, since it uses less digits than its factorization.

90047944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 90047944 is about 9489.3595147407. The cubic root of 90047944 is about 448.2200369995.

The spelling of 90047944 in words is "ninety million, forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 151 161 184 302 322 463 604 644 926 1057 1208 1288 1852 2114 3241 3473 3704 4228 6482 6946 8456 10649 12964 13892 21298 24311 25928 27784 42596 48622 69913 74543 85192 97244 139826 149086 194488 279652 298172 489391 559304 596344 978782 1607999 1957564 3215998 3915128 6431996 11255993 12863992 22511986 45023972 90047944