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54495192 = 23319127941
BaseRepresentation
bin1100111111100…
…0011111011000
310210112122100110
43033320133120
5102422321232
65224004320
71231126053
oct317703730
9123478313
1054495192
1128841054
12163006a0
13b3a049b
147347a9a
154bb6acc
hex33f87d8

54495192 has 64 divisors (see below), whose sum is σ = 144691200. Its totient is φ = 17055360.

The previous prime is 54495169. The next prime is 54495197. The reversal of 54495192 is 29159445.

It is a super-2 number, since 2×544951922 = 5939451902233728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54495192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54495197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57442 + ... + 58382.

It is an arithmetic number, because the mean of its divisors is an integer number (2260800).

Almost surely, 254495192 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 54495192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72345600).

54495192 is an abundant number, since it is smaller than the sum of its proper divisors (90196008).

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

54495192 is a wasteful number, since it uses less digits than its factorization.

54495192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 54495192 is about 7382.0858840845. The cubic root of 54495192 is about 379.1281767689.

The spelling of 54495192 in words is "fifty-four million, four hundred ninety-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 941 1016 1524 1882 2413 2823 3048 3764 4826 5646 7239 7528 9652 11292 14478 17879 19304 22584 28956 35758 53637 57912 71516 107274 119507 143032 214548 239014 358521 429096 478028 717042 956056 1434084 2270633 2868168 4541266 6811899 9082532 13623798 18165064 27247596 54495192