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93345672 = 23373715017
BaseRepresentation
bin1011001000001…
…01011110001000
320111122110012010
411210011132020
5142344030142
613132415520
72212265550
oct544053610
9214573163
1093345672
1148766a92
12273175a0
1316453a34
14c57c160
1582dce9c
hex5905788

93345672 has 64 divisors (see below), whose sum is σ = 273928320. Its totient is φ = 25947648.

The previous prime is 93345653. The next prime is 93345683. The reversal of 93345672 is 27654339.

It is a super-2 number, since 2×933456722 = 17426828962263168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93345672.

It is an unprimeable number.

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, 1293 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (4280130).

Almost surely, 293345672 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 93345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136964160).

93345672 is an abundant number, since it is smaller than the sum of its proper divisors (180582648).

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

93345672 is a wasteful number, since it uses less digits than its factorization.

93345672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15070 (or 15066 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 93345672 is about 9661.5563963577. The cubic root of 93345672 is about 453.6261290934.

The spelling of 93345672 in words is "ninety-three million, three hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 15017 30034 45051 60068 90102 105119 120136 180204 210238 315357 360408 420476 555629 630714 840952 1111258 1261428 1666887 2222516 2522856 3333774 3889403 4445032 6667548 7778806 11668209 13335096 15557612 23336418 31115224 46672836 93345672