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97845048 = 23327832339
BaseRepresentation
bin1011101010011…
…11111100111000
320211010001011200
411311033330320
5200022020143
613413054200
72265445350
oct565177470
9224101150
1097845048
115025a484
1228927360
131736a9a2
14cdcdb60
1588cb1d3
hex5d4ff38

97845048 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 27607104.

The previous prime is 97845001. The next prime is 97845061. The reversal of 97845048 is 84054879.

It is a junction number, because it is equal to n+sod(n) for n = 97844994 and 97845012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40663 + ... + 43001.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 297845048 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 97845048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

97845048 is an abundant number, since it is smaller than the sum of its proper divisors (208788552).

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

97845048 is a wasteful number, since it uses less digits than its factorization.

97845048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 97845048 is about 9891.6655827014. The cubic root of 97845048 is about 460.8005090779.

The spelling of 97845048 in words is "ninety-seven million, eight hundred forty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2339 2988 3486 4648 4678 5229 5976 6972 7017 9356 10458 13944 14034 16373 18712 20916 21051 28068 32746 41832 42102 49119 56136 65492 84204 98238 130984 147357 168408 194137 196476 294714 388274 392952 582411 589428 776548 1164822 1178856 1358959 1553096 1747233 2329644 2717918 3494466 4076877 4659288 5435836 6988932 8153754 10871672 12230631 13977864 16307508 24461262 32615016 48922524 97845048