Search a number
-
+
60393952 = 2523312647
BaseRepresentation
bin1110011001100…
…0100111100000
311012122022221001
43212120213200
5110430101302
65554241344
71332224443
oct346304740
9135568831
1060393952
11310aa963
1218286254
13c687388
14804165a
15547e787
hex39989e0

60393952 has 48 divisors (see below), whose sum is σ = 128120832. Its totient is φ = 27941760.

The previous prime is 60393937. The next prime is 60393959. The reversal of 60393952 is 25939306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60393959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21493 + ... + 24139.

It is an arithmetic number, because the mean of its divisors is an integer number (2669184).

Almost surely, 260393952 is an apocalyptic number.

60393952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64060416).

60393952 is an abundant number, since it is smaller than the sum of its proper divisors (67726880).

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

60393952 is a wasteful number, since it uses less digits than its factorization.

60393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 60393952 is about 7771.3545794797. The cubic root of 60393952 is about 392.3417123112.

The spelling of 60393952 in words is "sixty million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2647 2852 5294 5704 10588 11408 21176 22816 42352 60881 82057 84704 121762 164114 243524 328228 487048 656456 974096 1312912 1887311 1948192 2625824 3774622 7549244 15098488 30196976 60393952