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97333542 = 2331924993
BaseRepresentation
bin1011100110100…
…11000100100110
320210011001112000
411303103010212
5144404133132
613354110130
72261215155
oct563230446
9223131460
1097333542
114aa40149
122871b346
131721bc17
14ccd959c
15882987c
hex5cd3126

97333542 has 48 divisors (see below), whose sum is σ = 228325680. Its totient is φ = 30730752.

The previous prime is 97333531. The next prime is 97333547. The reversal of 97333542 is 24533379.

It is a junction number, because it is equal to n+sod(n) for n = 97333497 and 97333506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97333547) 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, 16998 + ... + 21990.

It is an arithmetic number, because the mean of its divisors is an integer number (4756785).

Almost surely, 297333542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97333542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162840).

97333542 is an abundant number, since it is smaller than the sum of its proper divisors (130992138).

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

97333542 is a wasteful number, since it uses less digits than its factorization.

97333542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5017 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 97333542 is about 9865.7762999168. The cubic root of 97333542 is about 459.9961278817.

The spelling of 97333542 in words is "ninety-seven million, three hundred thirty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 4993 6498 9747 9986 14979 19494 29958 44937 89874 94867 134811 189734 269622 284601 569202 853803 1707606 1802473 2561409 3604946 5122818 5407419 10814838 16222257 32444514 48666771 97333542