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97955928 = 23327263739
BaseRepresentation
bin1011101011010…
…11000001011000
320211022200021100
411311223001120
5200034042203
613415311400
72266416540
oct565530130
9224280240
1097955928
1150325814
122897b560
13173a92b5
14d01c320
1588edea3
hex5d6b058

97955928 has 96 divisors (see below), whose sum is σ = 304761600. Its totient is φ = 27843264.

The previous prime is 97955927. The next prime is 97955947. The reversal of 97955928 is 82955979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97955927) 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 23 ways as a sum of consecutive naturals, for example, 132183 + ... + 132921.

It is an arithmetic number, because the mean of its divisors is an integer number (3174600).

Almost surely, 297955928 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 97955928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152380800).

97955928 is an abundant number, since it is smaller than the sum of its proper divisors (206805672).

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

97955928 is a wasteful number, since it uses less digits than its factorization.

97955928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 97955928 is about 9897.2687141453. The cubic root of 97955928 is about 460.9745062075.

The spelling of 97955928 in words is "ninety-seven million, nine hundred fifty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 263 504 526 739 789 1052 1478 1578 1841 2104 2217 2367 2956 3156 3682 4434 4734 5173 5523 5912 6312 6651 7364 8868 9468 10346 11046 13302 14728 15519 16569 17736 18936 20692 22092 26604 31038 33138 41384 44184 46557 53208 62076 66276 93114 124152 132552 186228 194357 372456 388714 583071 777428 1166142 1360499 1554856 1749213 2332284 2720998 3498426 4081497 4664568 5441996 6996852 8162994 10883992 12244491 13993704 16325988 24488982 32651976 48977964 97955928