Search a number
-
+
53942656 = 271313217
BaseRepresentation
bin1100110111000…
…1100110000000
310202111120102011
43031301212000
5102302131111
65204102304
71223335135
oct315614600
9122446364
1053942656
11284a3a09
1216094994
13b238b41
14724258c
154b08021
hex3371980

53942656 has 32 divisors (see below), whose sum is σ = 108317880. Its totient is φ = 26757120.

The previous prime is 53942641. The next prime is 53942671. The reversal of 53942656 is 65624935.

It is an interprime number because it is at equal distance from previous prime (53942641) and next prime (53942671).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 15160 + ... + 18376.

Almost surely, 253942656 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 53942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54158940).

53942656 is an abundant number, since it is smaller than the sum of its proper divisors (54375224).

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

53942656 is a wasteful number, since it uses less digits than its factorization.

53942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The square root of 53942656 is about 7344.5664269581. The cubic root of 53942656 is about 377.8424732979.

The spelling of 53942656 in words is "fifty-three million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 3217 4192 6434 8384 12868 16768 25736 51472 102944 205888 411776 421427 842854 1685708 3371416 6742832 13485664 26971328 53942656