Search a number
-
+
97622352 = 24322997241
BaseRepresentation
bin1011101000110…
…01100101010000
320210200201200200
411310121211100
5144442403402
613404215200
72263530162
oct564314520
9223621620
1097622352
1150118133
122883a500
13172c0509
14cd72932
15888521c
hex5d19950

97622352 has 120 divisors (see below), whose sum is σ = 286726440. Its totient is φ = 30965760.

The previous prime is 97622351. The next prime is 97622363. The reversal of 97622352 is 25322679.

It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 74235456 = 4836^2 + 8616^2 .

It is a super-2 number, since 2×976223522 = 19060247220023808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97622351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404952 + ... + 405192.

It is an arithmetic number, because the mean of its divisors is an integer number (2389387).

Almost surely, 297622352 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 97622352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143363220).

97622352 is an abundant number, since it is smaller than the sum of its proper divisors (189104088).

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

97622352 is a wasteful number, since it uses less digits than its factorization.

97622352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 97622352 is about 9880.4024209543. The cubic root of 97622352 is about 460.4506484759.

The spelling of 97622352 in words is "ninety-seven million, six hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 97 116 144 174 194 232 241 261 291 348 388 464 482 522 582 696 723 776 873 964 1044 1164 1392 1446 1552 1746 1928 2088 2169 2328 2813 2892 3492 3856 4176 4338 4656 5626 5784 6984 6989 8439 8676 11252 11568 13968 13978 16878 17352 20967 22504 23377 25317 27956 33756 34704 41934 45008 46754 50634 55912 62901 67512 70131 83868 93508 101268 111824 125802 135024 140262 167736 187016 202536 210393 251604 280524 335472 374032 405072 420786 503208 561048 677933 841572 1006416 1122096 1355866 1683144 2033799 2711732 3366288 4067598 5423464 6101397 8135196 10846928 12202794 16270392 24405588 32540784 48811176 97622352