Search a number
-
+
93744992 = 251133171
BaseRepresentation
bin1011001011001…
…10111101100000
320112101201221202
411211212331200
5142444314432
613145140332
72215551005
oct545467540
9215351852
1093744992
1148a0a000
122748a6a8
1316563713
14c6438ac
15836b462
hex5966f60

93744992 has 96 divisors (see below), whose sum is σ = 212502528. Its totient is φ = 40656000.

The previous prime is 93744991. The next prime is 93745007. The reversal of 93744992 is 29944739.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93744991) 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, 1320317 + ... + 1320387.

It is an arithmetic number, because the mean of its divisors is an integer number (2213568).

Almost surely, 293744992 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 93744992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

93744992 is an abundant number, since it is smaller than the sum of its proper divisors (118757536).

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

93744992 is a wasteful number, since it uses less digits than its factorization.

93744992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 489888, while the sum is 47.

The square root of 93744992 is about 9682.1997500568. The cubic root of 93744992 is about 454.2720590507.

The spelling of 93744992 in words is "ninety-three million, seven hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 71 88 121 124 142 176 242 248 284 341 352 484 496 568 682 781 968 992 1136 1331 1364 1562 1936 2201 2272 2662 2728 3124 3751 3872 4402 5324 5456 6248 7502 8591 8804 10648 10912 12496 15004 17182 17608 21296 24211 24992 30008 34364 35216 41261 42592 48422 60016 68728 70432 82522 94501 96844 120032 137456 165044 189002 193688 266321 274912 330088 378004 387376 532642 660176 756008 774752 1065284 1320352 1512016 2130568 2929531 3024032 4261136 5859062 8522272 11718124 23436248 46872496 93744992