Search a number
-
+
55942656 = 293711243
BaseRepresentation
bin1101010101100…
…1111000000000
310220021011220020
43111121320000
5103310131111
65315013440
71246335060
oct325317000
9126234806
1055942656
112963a600
121689a280
13b789283
1476033a0
154da0906
hex3559e00

55942656 has 240 divisors, whose sum is σ = 191571072. Its totient is φ = 14192640.

The previous prime is 55942651. The next prime is 55942657. The reversal of 55942656 is 65624955.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55942651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1300971 + ... + 1301013.

Almost surely, 255942656 is an apocalyptic number.

55942656 is a gapful number since it is divisible by the number (56) 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 55942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95785536).

55942656 is an abundant number, since it is smaller than the sum of its proper divisors (135628416).

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

55942656 is a wasteful number, since it uses less digits than its factorization.

55942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 55942656 is about 7479.4823350283. The cubic root of 55942656 is about 382.4556025192.

The spelling of 55942656 in words is "fifty-five million, nine hundred forty-two thousand, six hundred fifty-six".