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97063248 = 24319711499
BaseRepresentation
bin1011100100100…
…01000101010000
320202122022202010
411302101011100
5144322010443
613344222520
72256011142
oct562210520
9222568663
1097063248
114a876067
122860aa40
1317155b99
14cc68c92
1587c4733
hex5c91150

97063248 has 80 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 30199680.

The previous prime is 97063237. The next prime is 97063249. The reversal of 97063248 is 84236079.

It is a super-2 number, since 2×970632482 = 18842548224619008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97063249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64003 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 297063248 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 97063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

97063248 is an abundant number, since it is smaller than the sum of its proper divisors (170776752).

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

97063248 is a wasteful number, since it uses less digits than its factorization.

97063248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 97063248 is about 9852.0682092645. The cubic root of 97063248 is about 459.5699320051.

The spelling of 97063248 in words is "ninety-seven million, sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 213 228 284 304 426 456 568 852 912 1136 1349 1499 1704 2698 2998 3408 4047 4497 5396 5996 8094 8994 10792 11992 16188 17988 21584 23984 28481 32376 35976 56962 64752 71952 85443 106429 113924 170886 212858 227848 319287 341772 425716 455696 638574 683544 851432 1277148 1367088 1702864 2022151 2554296 4044302 5108592 6066453 8088604 12132906 16177208 24265812 32354416 48531624 97063248