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97444974 = 23112322791
BaseRepresentation
bin1011100111011…
…10010001101110
320210100201101010
411303232101232
5144421214344
613400330050
72262161064
oct563562156
9223321333
1097444974
1150006940
1228773926
131725a863
14cd28034
15884c8b9
hex5cee46e

97444974 has 48 divisors (see below), whose sum is σ = 222332544. Its totient is φ = 28234800.

The previous prime is 97444973. The next prime is 97445011. The reversal of 97444974 is 47944479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97444973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33519 + ... + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (4631928).

Almost surely, 297444974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97444974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111166272).

97444974 is an abundant number, since it is smaller than the sum of its proper divisors (124887570).

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

97444974 is a wasteful number, since it uses less digits than its factorization.

97444974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2830 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 97444974 is about 9871.4220860016. The cubic root of 97444974 is about 460.1716026425.

The spelling of 97444974 in words is "ninety-seven million, four hundred forty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 2791 3174 5582 5819 8373 11638 16746 17457 30701 34914 61402 64193 92103 128386 184206 192579 385158 706123 1412246 1476439 2118369 2952878 4236738 4429317 8858634 16240829 32481658 48722487 97444974