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54951066 = 232592877
BaseRepresentation
bin1101000110011…
…1110010011010
310211101210200200
43101213302122
5103031413231
65241443030
71235035122
oct321476232
9124353620
1054951066
1129022605
12164a0476
13b4ccb31
147425c82
154c56be6
hex3467c9a

54951066 has 36 divisors (see below), whose sum is σ = 121250922. Its totient is φ = 17986032.

The previous prime is 54951047. The next prime is 54951067. The reversal of 54951066 is 66015945.

54951066 is a `hidden beast` number, since 549 + 5 + 106 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38378025 + 16573041 = 6195^2 + 4071^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54951066.

It is not an unprimeable number, because it can be changed into a prime (54951067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62220 + ... + 63096.

Almost surely, 254951066 is an apocalyptic number.

54951066 is an abundant number, since it is smaller than the sum of its proper divisors (66299856).

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

54951066 is a wasteful number, since it uses less digits than its factorization.

54951066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54951066 is about 7412.8986233457. The cubic root of 54951066 is about 380.1824285654.

It can be divided in two parts, 5495 and 1066, that added together give a 8-th power (6561 = 38).

The spelling of 54951066 in words is "fifty-four million, nine hundred fifty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 877 1062 1754 2631 3481 5262 6962 7893 10443 15786 20886 31329 51743 62658 103486 155229 310458 465687 931374 3052837 6105674 9158511 18317022 27475533 54951066