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97696368 = 2434711289
BaseRepresentation
bin1011101001010…
…11101001110000
320210211111020000
411310223221300
5200002240433
613405550000
72264256030
oct564535160
9223744200
1097696368
1150168800
1228875300
1317318103
14cd918c0
15889c113
hex5d2ba70

97696368 has 300 divisors, whose sum is σ = 359195760. Its totient is φ = 25090560.

The previous prime is 97696349. The next prime is 97696369. The reversal of 97696368 is 86369679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2939328) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97696369) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1097668 + ... + 1097756.

Almost surely, 297696368 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 97696368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597880).

97696368 is an abundant number, since it is smaller than the sum of its proper divisors (261499392).

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

97696368 is a wasteful number, since it uses less digits than its factorization.

97696368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 97696368 is about 9884.1473076842. The cubic root of 97696368 is about 460.5669883132.

It can be divided in two parts, 976 and 96368, that added together give a square (97344 = 3122).

The spelling of 97696368 in words is "ninety-seven million, six hundred ninety-six thousand, three hundred sixty-eight".