Search a number
-
+
53954424 = 2334531571
BaseRepresentation
bin1100110111010…
…0011101111000
310202112011120000
43031310131320
5102303020144
65204233000
71223414346
oct315643570
9122464500
1053954424
1128501837
121609b760
13b2412c4
147246996
154b0b769
hex3374778

53954424 has 80 divisors (see below), whose sum is σ = 154071720. Its totient is φ = 17634240.

The previous prime is 53954419. The next prime is 53954437. The reversal of 53954424 is 42445935.

It is a happy number.

It is a super-2 number, since 2×539544242 = 5822159738343552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33559 + ... + 35129.

Almost surely, 253954424 is an apocalyptic number.

53954424 is a gapful number since it is divisible by the number (54) 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 53954424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77035860).

53954424 is an abundant number, since it is smaller than the sum of its proper divisors (100117296).

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

53954424 is a wasteful number, since it uses less digits than its factorization.

53954424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1629 counting only the distinct ones).

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

The square root of 53954424 is about 7345.3675197365. The cubic root of 53954424 is about 377.8699477016.

The spelling of 53954424 in words is "fifty-three million, nine hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1571 1908 2862 3142 3816 4293 4713 5724 6284 8586 9426 11448 12568 14139 17172 18852 28278 34344 37704 42417 56556 83263 84834 113112 127251 166526 169668 249789 254502 333052 339336 499578 509004 666104 749367 999156 1018008 1498734 1998312 2248101 2997468 4496202 5994936 6744303 8992404 13488606 17984808 26977212 53954424