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97420672 = 272233413
BaseRepresentation
bin1011100111010…
…00010110000000
320210022111001001
411303220112000
5144414430142
613400021344
72262030166
oct563502600
9223274031
1097420672
114aa9a658
1228761854
131724c78b
14cd1d236
1588455b7
hex5ce8580

97420672 has 32 divisors (see below), whose sum is σ = 195007680. Its totient is φ = 48477696.

The previous prime is 97420643. The next prime is 97420679. The reversal of 97420672 is 27602479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97420679) 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, 26838 + ... + 30250.

It is an arithmetic number, because the mean of its divisors is an integer number (6093990).

Almost surely, 297420672 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 97420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97503840).

97420672 is an abundant number, since it is smaller than the sum of its proper divisors (97587008).

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

97420672 is a wasteful number, since it uses less digits than its factorization.

97420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 97420672 is about 9870.1910822435. The cubic root of 97420672 is about 460.1333450850.

The spelling of 97420672 in words is "ninety-seven million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 3413 3568 6826 7136 13652 14272 27304 28544 54608 109216 218432 436864 761099 1522198 3044396 6088792 12177584 24355168 48710336 97420672