Search a number
-
+
97044480 = 21136513
BaseRepresentation
bin1011100100011…
…00100000000000
320202121101000000
411302030200000
5144320410410
613344000000
72255602341
oct562144000
9222541000
1097044480
114a862a55
1228600000
131714a490
14cc620c8
1587bddc0
hex5c8c800

97044480 has 336 divisors, whose sum is σ = 375970140. Its totient is φ = 23887872.

The previous prime is 97044463. The next prime is 97044487. The reversal of 97044480 is 8444079.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 6718464 = 9504^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97044487) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464954 + ... + 7464966.

Almost surely, 297044480 is an apocalyptic number.

97044480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187985070).

97044480 is an abundant number, since it is smaller than the sum of its proper divisors (278925660).

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

97044480 is an equidigital number, since it uses as much as digits as its factorization.

97044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 97044480 is about 9851.1156728566. The cubic root of 97044480 is about 459.5403095179.

The spelling of 97044480 in words is "ninety-seven million, forty-four thousand, four hundred eighty".