Search a number
-
+
97741336 = 237111011571
BaseRepresentation
bin1011101001101…
…10101000011000
320210220202220111
411310312220120
5200010210321
613410534104
72264534110
oct564665030
9223822814
1097741336
1150199570
1228897334
1317332714
14cda4040
1588aa5e1
hex5d36a18

97741336 has 64 divisors (see below), whose sum is σ = 230895360. Its totient is φ = 37680000.

The previous prime is 97741291. The next prime is 97741349. The reversal of 97741336 is 63314779.

It is a congruent number.

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, 61431 + ... + 63001.

It is an arithmetic number, because the mean of its divisors is an integer number (3607740).

Almost surely, 297741336 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 97741336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115447680).

97741336 is an abundant number, since it is smaller than the sum of its proper divisors (133154024).

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

97741336 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (97741335) it forms an eRAP, since the sums of their prime factors are consecutive (1695 and 1696).

97741336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 97741336 is about 9886.4217996199. The cubic root of 97741336 is about 460.6376412281.

The spelling of 97741336 in words is "ninety-seven million, seven hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 1571 2222 2828 3142 4444 5656 6284 7777 8888 10997 12568 15554 17281 21994 31108 34562 43988 62216 69124 87976 120967 138248 158671 241934 317342 483868 634684 967736 1110697 1269368 1745381 2221394 3490762 4442788 6981524 8885576 12217667 13963048 24435334 48870668 97741336