[go: up one dir, main page]

Search a number
-
+
90097152 = 29358657
BaseRepresentation
bin1010101111011…
…00011000000000
320021112102001120
411113230120000
5141031102102
612535032240
72142545625
oct527543000
9207472046
1090097152
1146948362
122620b680
1315887232
14bd7434c
157d9a6bc
hex55ec600

90097152 has 40 divisors (see below), whose sum is σ = 240028536. Its totient is φ = 30031872.

The previous prime is 90097121. The next prime is 90097157. The reversal of 90097152 is 25179009.

It is a super-2 number, since 2×900971522 = 16234993597022208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90097157) 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 3 ways as a sum of consecutive naturals, for example, 27793 + ... + 30864.

Almost surely, 290097152 is an apocalyptic number.

It is an amenable number.

90097152 is an abundant number, since it is smaller than the sum of its proper divisors (149931384).

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

90097152 is an equidigital number, since it uses as much as digits as its factorization.

90097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58678 (or 58662 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 90097152 is about 9491.9519594233. The cubic root of 90097152 is about 448.3016675703.

It can be divided in two parts, 9009 and 7152, that added together give a palindrome (16161).

The spelling of 90097152 in words is "ninety million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 58657 117314 175971 234628 351942 469256 703884 938512 1407768 1877024 2815536 3754048 5631072 7508096 11262144 15016192 22524288 30032384 45048576 90097152