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97248942 = 23271783547
BaseRepresentation
bin1011100101111…
…10011010101110
320202222202110200
411302332122232
5144343431232
613352214330
72260413420
oct562763256
9222882420
1097248942
114a99262a
122869a3a6
13171bc56b
14ccb6810
15880e77c
hex5cbe6ae

97248942 has 96 divisors (see below), whose sum is σ = 258515712. Its totient is φ = 25788672.

The previous prime is 97248941. The next prime is 97248971. The reversal of 97248942 is 24984279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97248941) 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 47 ways as a sum of consecutive naturals, for example, 177513 + ... + 178059.

It is an arithmetic number, because the mean of its divisors is an integer number (2692872).

Almost surely, 297248942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97248942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129257856).

97248942 is an abundant number, since it is smaller than the sum of its proper divisors (161266770).

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

97248942 is a wasteful number, since it uses less digits than its factorization.

With its successor (97248943) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (662).

97248942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 97248942 is about 9861.4878187827. The cubic root of 97248942 is about 459.8628166856.

The spelling of 97248942 in words is "ninety-seven million, two hundred forty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 83 102 119 126 153 166 238 249 306 357 498 547 581 714 747 1071 1094 1162 1411 1494 1641 1743 2142 2822 3282 3486 3829 4233 4923 5229 7658 8466 9299 9846 9877 10458 11487 12699 18598 19754 22974 25398 27897 29631 34461 45401 55794 59262 65093 68922 83691 88893 90802 130186 136203 167382 177786 195279 272406 317807 390558 408609 585837 635614 771817 817218 953421 1171674 1543634 1906842 2315451 2860263 4630902 5402719 5720526 6946353 10805438 13892706 16208157 32416314 48624471 97248942