Search a number
-
+
97655840 = 2551394391
BaseRepresentation
bin1011101001000…
…01110000100000
320210202102121222
411310201300200
5144444441330
613405034212
72264026622
oct564416040
9223672558
1097655840
1150140307
1228855968
1317302829
14cd80c12
1588900e5
hex5d21c20

97655840 has 48 divisors (see below), whose sum is σ = 232424640. Its totient is φ = 38772480.

The previous prime is 97655821. The next prime is 97655849. The reversal of 97655840 is 4855679.

It is a super-2 number, since 2×976558402 = 19073326172211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97655791 and 97655800.

It is not an unprimeable number, because it can be changed into a prime (97655849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20045 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 297655840 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 97655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212320).

97655840 is an abundant number, since it is smaller than the sum of its proper divisors (134768800).

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

97655840 is a wasteful number, since it uses less digits than its factorization.

97655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 97655840 is about 9882.0969434630. The cubic root of 97655840 is about 460.5032928692.

The spelling of 97655840 in words is "ninety-seven million, six hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4391 4448 5560 8782 11120 17564 21955 22240 35128 43910 70256 87820 140512 175640 351280 610349 702560 1220698 2441396 3051745 4882792 6103490 9765584 12206980 19531168 24413960 48827920 97655840