Search a number
-
+
97789152 = 2537114347
BaseRepresentation
bin1011101010000…
…10010011100000
320211000012111110
411311002103200
5200013223102
613411543320
72265123366
oct565022340
9224005443
1097789152
115022148a
12288bab40
131734b406
14cdb7636
1588b986c
hex5d424e0

97789152 has 48 divisors (see below), whose sum is σ = 260330112. Its totient is φ = 32135040.

The previous prime is 97789129. The next prime is 97789157. The reversal of 97789152 is 25198779.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97789157) 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, 358 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (5423544).

Almost surely, 297789152 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 97789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130165056).

97789152 is an abundant number, since it is smaller than the sum of its proper divisors (162540960).

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

97789152 is a wasteful number, since it uses less digits than its factorization.

97789152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431 (or 14423 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 97789152 is about 9888.8397701652. The cubic root of 97789152 is about 460.7127451012.

The spelling of 97789152 in words is "ninety-seven million, seven hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 14347 28694 43041 57388 86082 114776 172164 229552 344328 459104 688656 1018637 1377312 2037274 3055911 4074548 6111822 8149096 12223644 16298192 24447288 32596384 48894576 97789152