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97906544 = 2419443727
BaseRepresentation
bin1011101010111…
…10111101110000
320211020011112022
411311132331300
5200031002134
613414251012
72266122551
oct565367560
9224204468
1097906544
11502a16aa
1228956a68
131738c988
14d008328
1588de52e
hex5d5ef70

97906544 has 40 divisors (see below), whose sum is σ = 200403840. Its totient is φ = 46208448.

The previous prime is 97906541. The next prime is 97906573. The reversal of 97906544 is 44560979.

It is a junction number, because it is equal to n+sod(n) for n = 97906495 and 97906504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97906541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134309 + ... + 135035.

It is an arithmetic number, because the mean of its divisors is an integer number (5010096).

Almost surely, 297906544 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 97906544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100201920).

97906544 is an abundant number, since it is smaller than the sum of its proper divisors (102497296).

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

97906544 is a wasteful number, since it uses less digits than its factorization.

97906544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 97906544 is about 9894.7735699206. The cubic root of 97906544 is about 460.8970271747.

The spelling of 97906544 in words is "ninety-seven million, nine hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 443 727 886 1454 1772 2908 3544 5816 7088 8417 11632 13813 16834 27626 33668 55252 67336 110504 134672 221008 322061 644122 1288244 2576488 5152976 6119159 12238318 24476636 48953272 97906544