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54763764 = 223111313167
BaseRepresentation
bin1101000011101…
…0000011110100
310211001021202120
43100322003310
5103004420024
65233435540
71233325056
oct320720364
9124037676
1054763764
1128a04910
121640bbb0
13b4657c3
1473b78d6
154c1b479
hex343a0f4

54763764 has 48 divisors (see below), whose sum is σ = 140507136. Its totient is φ = 16463200.

The previous prime is 54763739. The next prime is 54763769. The reversal of 54763764 is 46736745.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54763769) 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, 15709 + ... + 18875.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 254763764 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 54763764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568).

54763764 is an abundant number, since it is smaller than the sum of its proper divisors (85743372).

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

54763764 is a wasteful number, since it uses less digits than its factorization.

54763764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3314 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 54763764 is about 7400.2543199541. The cubic root of 54763764 is about 379.7499832782.

The spelling of 54763764 in words is "fifty-four million, seven hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 3167 4323 5764 6334 8646 9501 12668 17292 19002 34837 38004 69674 104511 139348 209022 414877 418044 829754 1244631 1659508 2489262 4563647 4978524 9127294 13690941 18254588 27381882 54763764