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53954442 = 23229412521
BaseRepresentation
bin1100110111010…
…0011110001010
310202112011120200
43031310132022
5102303020232
65204233030
71223414403
oct315643612
9122464520
1053954442
1128501853
121609b776
13b241309
1472469aa
154b0b77c
hex337478a

53954442 has 48 divisors (see below), whose sum is σ = 123931080. Its totient is φ = 16934400.

The previous prime is 53954441. The next prime is 53954443. The reversal of 53954442 is 24445935.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53954441) and next prime (53954443).

It can be written as a sum of positive squares in 4 ways, for example, as 13771521 + 40182921 = 3711^2 + 6339^2 .

It is a super-2 number, since 2×539544422 = 5822163623062728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53954397 and 53954406.

It is not an unprimeable number, because it can be changed into a prime (53954441) 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, 20142 + ... + 22662.

Almost surely, 253954442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53954442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965540).

53954442 is an abundant number, since it is smaller than the sum of its proper divisors (69976638).

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

53954442 is a wasteful number, since it uses less digits than its factorization.

53954442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2596 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53954442 is about 7345.3687449984. The cubic root of 53954442 is about 377.8699897226.

The spelling of 53954442 in words is "fifty-three million, nine hundred fifty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 2521 3567 5042 7134 7563 10701 15126 21402 22689 45378 73109 103361 146218 206722 219327 310083 438654 620166 657981 930249 1315962 1860498 2997469 5994938 8992407 17984814 26977221 53954442