Search a number
-
+
92799396 = 223217532861
BaseRepresentation
bin1011000100000…
…00000110100100
320110121200211200
411202000012210
5142224040041
613113002500
72204532114
oct542000644
9213550750
1092799396
1148423618
12270b3430
13162c21b1
14c479044
1582311b6
hex58801a4

92799396 has 72 divisors (see below), whose sum is σ = 253149624. Its totient is φ = 28554240.

The previous prime is 92799383. The next prime is 92799397. The reversal of 92799396 is 69399729.

It can be written as a sum of positive squares in 4 ways, for example, as 37088100 + 55711296 = 6090^2 + 7464^2 .

It is a super-2 number, since 2×927993962 = 17223455795929632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92799397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31006 + ... + 33866.

It is an arithmetic number, because the mean of its divisors is an integer number (3515967).

Almost surely, 292799396 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 92799396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126574812).

92799396 is an abundant number, since it is smaller than the sum of its proper divisors (160350228).

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

92799396 is a wasteful number, since it uses less digits than its factorization.

92799396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2936 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 92799396 is about 9633.2443133142. The cubic root of 92799396 is about 452.7394961444.

The spelling of 92799396 in words is "ninety-two million, seven hundred ninety-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 2861 3604 5406 5722 8109 8583 10812 11444 16218 17166 25749 32436 34332 48637 51498 97274 102996 145911 151633 194548 291822 303266 437733 454899 583644 606532 875466 909798 1364697 1750932 1819596 2577761 2729394 5155522 5458788 7733283 10311044 15466566 23199849 30933132 46399698 92799396