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97384956 = 22319538059
BaseRepresentation
bin1011100110111…
…11100111111100
320210020200001020
411303133213330
5144412304311
613355144140
72261521104
oct563374774
9223220036
1097384956
114aa75839
1228745050
1317239446
14cd10204
158839c06
hex5cdf9fc

97384956 has 48 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 30169152.

The previous prime is 97384951. The next prime is 97384961. The reversal of 97384956 is 65948379.

It is an interprime number because it is at equal distance from previous prime (97384951) and next prime (97384961).

It is a junction number, because it is equal to n+sod(n) for n = 97384899 and 97384908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97384951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8055 + ... + 16113.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 297384956 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 97384956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

97384956 is an abundant number, since it is smaller than the sum of its proper divisors (146349444).

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

97384956 is a wasteful number, since it uses less digits than its factorization.

97384956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8136 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 97384956 is about 9868.3816302370. The cubic root of 97384956 is about 460.0771074270.

The spelling of 97384956 in words is "ninety-seven million, three hundred eighty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 8059 12084 16118 24177 32236 48354 96708 153121 306242 427127 459363 612484 854254 918726 1281381 1708508 1837452 2562762 5125524 8115413 16230826 24346239 32461652 48692478 97384956