Search a number
-
+
54402912 = 25322343191
BaseRepresentation
bin1100111110000…
…1111101100000
310210100221202200
43033201331200
5102411343122
65222013200
71230263034
oct317417540
9123327680
1054402912
1128788793
1216277200
13b36a495
1473221c4
154b995ac
hex33e1f60

54402912 has 144 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 16853760.

The previous prime is 54402893. The next prime is 54402917. The reversal of 54402912 is 21920445.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54402917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284737 + ... + 284927.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 254402912 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 54402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

54402912 is an abundant number, since it is smaller than the sum of its proper divisors (111650976).

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

54402912 is a wasteful number, since it uses less digits than its factorization.

54402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54402912 is about 7375.8329699092. The cubic root of 54402912 is about 378.9140556486.

The spelling of 54402912 in words is "fifty-four million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 191 207 258 276 288 344 368 382 387 414 516 552 573 688 736 764 774 828 989 1032 1104 1146 1376 1528 1548 1656 1719 1978 2064 2208 2292 2967 3056 3096 3312 3438 3956 4128 4393 4584 5934 6112 6192 6624 6876 7912 8213 8786 8901 9168 11868 12384 13179 13752 15824 16426 17572 17802 18336 23736 24639 26358 27504 31648 32852 35144 35604 39537 47472 49278 52716 55008 65704 70288 71208 73917 79074 94944 98556 105432 131408 140576 142416 147834 158148 188899 197112 210864 262816 284832 295668 316296 377798 394224 421728 566697 591336 632592 755596 788448 1133394 1182672 1265184 1511192 1700091 2266788 2365344 3022384 3400182 4533576 6044768 6800364 9067152 13600728 18134304 27201456 54402912