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97939488 = 25341149167
BaseRepresentation
bin1011101011001…
…11000000100000
320211021211201110
411311213000200
5200033030423
613415103320
72266320603
oct565470040
9224254643
1097939488
1150314429
1228971b40
13173a197a
14d01633a
1588e9193
hex5d67020

97939488 has 96 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 31447040.

The previous prime is 97939487. The next prime is 97939489. The reversal of 97939488 is 88493979.

It is an interprime number because it is at equal distance from previous prime (97939487) and next prime (97939489).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (97939483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586381 + ... + 586547.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 297939488 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 97939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

97939488 is an abundant number, since it is smaller than the sum of its proper divisors (168777312).

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

97939488 is a wasteful number, since it uses less digits than its factorization.

97939488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 97939488 is about 9896.4381471315. The cubic root of 97939488 is about 460.9487162254.

The spelling of 97939488 in words is "ninety-seven million, nine hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 149 164 167 246 298 328 334 447 492 501 596 656 668 894 984 1002 1192 1312 1336 1788 1968 2004 2384 2672 3576 3936 4008 4768 5344 6109 6847 7152 8016 12218 13694 14304 16032 18327 20541 24436 24883 27388 36654 41082 48872 49766 54776 73308 74649 82164 97744 99532 109552 146616 149298 164328 195488 199064 219104 293232 298596 328656 398128 586464 597192 657312 796256 1020203 1194384 2040406 2388768 3060609 4080812 6121218 8161624 12242436 16323248 24484872 32646496 48969744 97939488