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97549842 = 23132175659
BaseRepresentation
bin1011101000001…
…11111000010010
320210120001020010
411310013320102
5144433043332
613402455350
72263105605
oct564077022
9223501203
1097549842
1150078705
1228804556
1317296500
14cd5433c
15886d9cc
hex5d07e12

97549842 has 48 divisors (see below), whose sum is σ = 223728480. Its totient is φ = 28244736.

The previous prime is 97549841. The next prime is 97549847. The reversal of 97549842 is 24894579.

It is a junction number, because it is equal to n+sod(n) for n = 97549791 and 97549800.

It is not an unprimeable number, because it can be changed into a prime (97549841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14409 + ... + 20067.

It is an arithmetic number, because the mean of its divisors is an integer number (4661010).

Almost surely, 297549842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97549842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111864240).

97549842 is an abundant number, since it is smaller than the sum of its proper divisors (126178638).

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

97549842 is a wasteful number, since it uses less digits than its factorization.

97549842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5694 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 97549842 is about 9876.7323543771. The cubic root of 97549842 is about 460.3366187634.

The spelling of 97549842 in words is "ninety-seven million, five hundred forty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5659 5746 8619 11318 16977 17238 33954 73567 96203 147134 192406 220701 288609 441402 577218 956371 1250639 1912742 2501278 2869113 3751917 5738226 7503834 16258307 32516614 48774921 97549842