Search a number
-
+
54316332 = 22377887
BaseRepresentation
bin1100111100110…
…0110100101100
310210012120000000
43033030310230
5102401110312
65220104300
71226452440
oct317146454
9123176000
1054316332
1128729734
1216235090
13b339c55
1472dc820
154b7dadc
hex33ccd2c

54316332 has 96 divisors (see below), whose sum is σ = 163107840. Its totient is φ = 15501456.

The previous prime is 54316331. The next prime is 54316337. The reversal of 54316332 is 23361345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54316296 and 54316305.

It is not an unprimeable number, because it can be changed into a prime (54316331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60793 + ... + 61679.

It is an arithmetic number, because the mean of its divisors is an integer number (1699040).

Almost surely, 254316332 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 54316332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81553920).

54316332 is an abundant number, since it is smaller than the sum of its proper divisors (108791508).

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

54316332 is an equidigital number, since it uses as much as digits as its factorization.

54316332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 899 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 54316332 is about 7369.9614652995. The cubic root of 54316332 is about 378.7129402029.

Adding to 54316332 its reverse (23361345), we get a palindrome (77677677).

The spelling of 54316332 in words is "fifty-four million, three hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 887 972 1134 1458 1701 1774 2187 2268 2661 2916 3402 3548 4374 5103 5322 6209 6804 7983 8748 10206 10644 12418 15309 15966 18627 20412 23949 24836 30618 31932 37254 47898 55881 61236 71847 74508 95796 111762 143694 167643 215541 223524 287388 335286 431082 502929 646623 670572 862164 1005858 1293246 1508787 1939869 2011716 2586492 3017574 3879738 4526361 6035148 7759476 9052722 13579083 18105444 27158166 54316332