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97969344 = 2631124217
BaseRepresentation
bin1011101011011…
…10010011000000
320211100100200020
411311232103000
5200040004334
613415453440
72266503624
oct565562300
9224310606
1097969344
1150334900
1228987280
13173b2435
14d023184
158902e49
hex5d6e4c0

97969344 has 84 divisors (see below), whose sum is σ = 284984952. Its totient is φ = 29680640.

The previous prime is 97969297. The next prime is 97969349. The reversal of 97969344 is 44396979.

It is not an unprimeable number, because it can be changed into a prime (97969349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21124 + ... + 25340.

It is an arithmetic number, because the mean of its divisors is an integer number (3392678).

Almost surely, 297969344 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 97969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492476).

97969344 is an abundant number, since it is smaller than the sum of its proper divisors (187015608).

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

97969344 is a wasteful number, since it uses less digits than its factorization.

97969344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4233 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 97969344 is about 9897.9464536842. The cubic root of 97969344 is about 460.9955502007.

The spelling of 97969344 in words is "ninety-seven million, nine hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 4217 5808 7744 8434 11616 12651 16868 23232 25302 33736 46387 50604 67472 92774 101208 134944 139161 185548 202416 269888 278322 371096 404832 510257 556644 742192 809664 1020514 1113288 1484384 1530771 2041028 2226576 2968768 3061542 4082056 4453152 6123084 8164112 8906304 12246168 16328224 24492336 32656448 48984672 97969344