Search a number
-
+
54407936 = 28111392
BaseRepresentation
bin1100111110001…
…1001100000000
310210101012122202
43033203030000
5102412023221
65222052332
71230313502
oct317431400
9123335582
1054407936
1128791540
121627a0a8
13b36c85b
147323d72
154b9ad0b
hex33e3300

54407936 has 54 divisors (see below), whose sum is σ = 119334852. Its totient is φ = 24552960.

The previous prime is 54407921. The next prime is 54407957. The reversal of 54407936 is 63970445.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54407936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391355 + ... + 391493.

Almost surely, 254407936 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 54407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59667426).

54407936 is an abundant number, since it is smaller than the sum of its proper divisors (64926916).

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

54407936 is an equidigital number, since it uses as much as digits as its factorization.

54407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 54407936 is about 7376.1735337504. The cubic root of 54407936 is about 378.9257192744.

The spelling of 54407936 in words is "fifty-four million, four hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 176 256 278 352 556 704 1112 1408 1529 2224 2816 3058 4448 6116 8896 12232 17792 19321 24464 35584 38642 48928 77284 97856 154568 195712 212531 309136 391424 425062 618272 850124 1236544 1700248 2473088 3400496 4946176 6800992 13601984 27203968 54407936