Search a number
-
+
97023528 = 23337289103
BaseRepresentation
bin1011100100001…
…11011000101000
320202120022021000
411302013120220
5144314223103
613343315000
72255454300
oct562073050
9222508230
1097023528
114a849238
12285aba60
1317140a94
14cc58600
1587b7aa3
hex5c87628

97023528 has 192 divisors, whose sum is σ = 320112000. Its totient is φ = 27143424.

The previous prime is 97023527. The next prime is 97023547. The reversal of 97023528 is 82532079.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 97023492 and 97023501.

It is not an unprimeable number, because it can be changed into a prime (97023527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941925 + ... + 942027.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 297023528 is an apocalyptic number.

97023528 is a gapful number since it is divisible by the number (98) 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 97023528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

97023528 is an abundant number, since it is smaller than the sum of its proper divisors (223088472).

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

97023528 is a wasteful number, since it uses less digits than its factorization.

97023528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97023528 is about 9850.0521826029. The cubic root of 97023528 is about 459.5072354005.

The spelling of 97023528 in words is "ninety-seven million, twenty-three thousand, five hundred twenty-eight".