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54813780 = 22335717853
BaseRepresentation
bin1101000100011…
…0010001010100
310211010211101000
43101012101110
5103013020110
65234503300
71233623640
oct321062124
9124124330
1054813780
1128a3944a
1216434b30
13b4824b8
1473cbc20
154c2b1c0
hex3446454

54813780 has 192 divisors, whose sum is σ = 206599680. Its totient is φ = 11778048.

The previous prime is 54813769. The next prime is 54813809. The reversal of 54813780 is 8731845.

54813780 is a `hidden beast` number, since 548 + 1 + 37 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63834 + ... + 64686.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 254813780 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 54813780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103299840).

54813780 is an abundant number, since it is smaller than the sum of its proper divisors (151785900).

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

54813780 is a wasteful number, since it uses less digits than its factorization.

54813780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 54813780 is about 7403.6328920335. The cubic root of 54813780 is about 379.8655572417.

It can be divided in two parts, 5481 and 3780, that added together give a cube (9261 = 213).

The spelling of 54813780 in words is "fifty-four million, eight hundred thirteen thousand, seven hundred eighty".