Search a number
-
+
97022784 = 263505327
BaseRepresentation
bin1011100100001…
…11001101000000
320202120021020110
411302013031000
5144314212114
613343311320
72255452155
oct562071500
9222507213
1097022784
114a848721
12285ab540
1317140641
14cc5822c
1587b7759
hex5c87340

97022784 has 28 divisors (see below), whose sum is σ = 256706624. Its totient is φ = 32340864.

The previous prime is 97022771. The next prime is 97022789. The reversal of 97022784 is 48722079.

It is a super-2 number, since 2×970227842 = 18826841230221312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97022789) 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, 252472 + ... + 252855.

Almost surely, 297022784 is an apocalyptic number.

It is an amenable number.

97022784 is an abundant number, since it is smaller than the sum of its proper divisors (159683840).

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

97022784 is a wasteful number, since it uses less digits than its factorization.

97022784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505342 (or 505332 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 97022784 is about 9850.0144162331. The cubic root of 97022784 is about 459.5060608598.

The spelling of 97022784 in words is "ninety-seven million, twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 505327 1010654 1515981 2021308 3031962 4042616 6063924 8085232 12127848 16170464 24255696 32340928 48511392 97022784