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97475820 = 22351329613
BaseRepresentation
bin1011100111101…
…01110011101100
320210102021200120
411303311303230
5144423211240
613401124540
72262350031
oct563656354
9223367616
1097475820
1150028032
1228789750
131726b900
14cd35388
158856ad0
hex5cf5cec

97475820 has 72 divisors (see below), whose sum is σ = 295572816. Its totient is φ = 23991552.

The previous prime is 97475813. The next prime is 97475831. The reversal of 97475820 is 2857479.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5334 + ... + 14946.

It is an arithmetic number, because the mean of its divisors is an integer number (4105178).

Almost surely, 297475820 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 97475820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147786408).

97475820 is an abundant number, since it is smaller than the sum of its proper divisors (198096996).

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

97475820 is a wasteful number, since it uses less digits than its factorization.

97475820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 97475820 is about 9872.9843512486. The cubic root of 97475820 is about 460.2201529685.

The spelling of 97475820 in words is "ninety-seven million, four hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 9613 10140 19226 28839 38452 48065 57678 96130 115356 124969 144195 192260 249938 288390 374907 499876 576780 624845 749814 1249690 1499628 1624597 1874535 2499380 3249194 3749070 4873791 6498388 7498140 8122985 9747582 16245970 19495164 24368955 32491940 48737910 97475820