Search a number
-
+
55936848 = 2431129631
BaseRepresentation
bin1101010101100…
…0011101010000
310220020212221010
43111120131100
5103304434343
65314530520
71246312122
oct325303520
9126225833
1055936848
1129636200
1216896a40
13b786736
147601212
154d9dd33
hex3558750

55936848 has 60 divisors (see below), whose sum is σ = 158850944. Its totient is φ = 16948800.

The previous prime is 55936843. The next prime is 55936849. The reversal of 55936848 is 84863955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55936797 and 55936806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55936843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993 + ... + 10623.

Almost surely, 255936848 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 55936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79425472).

55936848 is an abundant number, since it is smaller than the sum of its proper divisors (102914096).

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

55936848 is a wasteful number, since it uses less digits than its factorization.

55936848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9647 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 55936848 is about 7479.0940627859. The cubic root of 55936848 is about 382.4423664713.

The spelling of 55936848 in words is "fifty-five million, nine hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 9631 19262 28893 38524 57786 77048 105941 115572 154096 211882 231144 317823 423764 462288 635646 847528 1165351 1271292 1695056 2330702 2542584 3496053 4661404 5085168 6992106 9322808 13984212 18645616 27968424 55936848