Search a number
-
+
90005748 = 22372153071
BaseRepresentation
bin1010101110101…
…10000011110100
320021100202200020
411113112003310
5141020140443
612533045140
72142015300
oct527260364
9207322606
1090005748
1146895718
12261867b0
1315854751
14bd4cd00
157d7d583
hex55d60f4

90005748 has 36 divisors (see below), whose sum is σ = 244302912. Its totient is φ = 25715760.

The previous prime is 90005731. The next prime is 90005759. The reversal of 90005748 is 84750009.

It is a congruent number.

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, 75948 + ... + 77123.

It is an arithmetic number, because the mean of its divisors is an integer number (6786192).

Almost surely, 290005748 is an apocalyptic number.

90005748 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

90005748 is an abundant number, since it is smaller than the sum of its proper divisors (154297164).

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

90005748 is a wasteful number, since it uses less digits than its factorization.

90005748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153092 (or 153083 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 90005748 is about 9487.1359218681. The cubic root of 90005748 is about 448.1500148654.

The spelling of 90005748 in words is "ninety million, five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 153071 306142 459213 612284 918426 1071497 1836852 2142994 3214491 4285988 6428982 7500479 12857964 15000958 22501437 30001916 45002874 90005748