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97215552 = 263571947
BaseRepresentation
bin1011100101101…
…10010001000000
320202221001200000
411302312101000
5144341344202
613351400000
72260214160
oct562662100
9222831600
1097215552
114a96a535
1228683000
13171aa2c5
14cca85a0
15880491c
hex5cb6440

97215552 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 25754112.

The previous prime is 97215529. The next prime is 97215581. The reversal of 97215552 is 25551279.

97215552 is a `hidden beast` number, since 97 + 2 + 15 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (31500) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2068393 + ... + 2068439.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 297215552 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 97215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

97215552 is an abundant number, since it is smaller than the sum of its proper divisors (257815488).

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

97215552 is a wasteful number, since it uses less digits than its factorization.

97215552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 97215552 is about 9859.7947240295. The cubic root of 97215552 is about 459.8101800302.

It can be divided in two parts, 972 and 15552, that multiplied together give a square (15116544 = 38882).

The spelling of 97215552 in words is "ninety-seven million, two hundred fifteen thousand, five hundred fifty-two".