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97946212 = 22713416563
BaseRepresentation
bin1011101011010…
…00101001100100
320211022011221111
411311220221210
5200033234322
613415154404
72266346320
oct565505144
9224264844
1097946212
1150319491
1228975a04
13173a4a50
14d018980
1588eb177
hex5d68a64

97946212 has 48 divisors (see below), whose sum is σ = 216139392. Its totient is φ = 37797120.

The previous prime is 97946183. The next prime is 97946221. The reversal of 97946212 is 21264979.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11643 + ... + 18205.

It is an arithmetic number, because the mean of its divisors is an integer number (4502904).

Almost surely, 297946212 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 97946212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108069696).

97946212 is an abundant number, since it is smaller than the sum of its proper divisors (118193180).

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

97946212 is a wasteful number, since it uses less digits than its factorization.

97946212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6626 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 97946212 is about 9896.7778594854. Note that the first 3 decimals coincide. The cubic root of 97946212 is about 460.9592647396.

The spelling of 97946212 in words is "ninety-seven million, nine hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 6563 7462 13126 14924 26252 45941 85319 91882 170638 183764 269083 341276 538166 597233 1076332 1194466 1883581 2388932 3498079 3767162 6996158 7534324 13992316 24486553 48973106 97946212