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55450968 = 23319277439
BaseRepresentation
bin1101001110000…
…1110101011000
310212100012102120
43103201311120
5103143412333
65300301240
71242216426
oct323416530
9125305376
1055450968
1129334151
12166a1820
13b646531
147516116
154d04db3
hex34e1d58

55450968 has 64 divisors (see below), whose sum is σ = 146784000. Its totient is φ = 17407872.

The previous prime is 55450963. The next prime is 55451017. The reversal of 55450968 is 86905455.

55450968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55450961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126093 + ... + 126531.

It is an arithmetic number, because the mean of its divisors is an integer number (2293500).

Almost surely, 255450968 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 55450968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73392000).

55450968 is an abundant number, since it is smaller than the sum of its proper divisors (91333032).

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

55450968 is a wasteful number, since it uses less digits than its factorization.

55450968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 55450968 is about 7446.5406733597. The cubic root of 55450968 is about 381.3318180400.

The spelling of 55450968 in words is "fifty-five million, four hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 277 439 456 554 831 878 1108 1317 1662 1756 2216 2634 3324 3512 5263 5268 6648 8341 10526 10536 15789 16682 21052 25023 31578 33364 42104 50046 63156 66728 100092 121603 126312 200184 243206 364809 486412 729618 972824 1459236 2310457 2918472 4620914 6931371 9241828 13862742 18483656 27725484 55450968