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54365328 = 2432377537
BaseRepresentation
bin1100111101100…
…0110010010000
310210022001012200
43033120302100
5102404142303
65221123200
71230045333
oct317306220
9123261180
1054365328
1128762526
1216259500
13b356344
14731261a
154b8d3a3
hex33d8c90

54365328 has 30 divisors (see below), whose sum is σ = 152147814. Its totient is φ = 18121728.

The previous prime is 54365293. The next prime is 54365387. The reversal of 54365328 is 82356345.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49112064 + 5253264 = 7008^2 + 2292^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 54365292 and 54365301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188625 + ... + 188912.

Almost surely, 254365328 is an apocalyptic number.

It is an amenable number.

54365328 is an abundant number, since it is smaller than the sum of its proper divisors (97782486).

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

54365328 is a wasteful number, since it uses less digits than its factorization.

54365328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377551 (or 377542 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54365328 is about 7373.2847496892. The cubic root of 54365328 is about 378.8267785399.

The spelling of 54365328 in words is "fifty-four million, three hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 377537 755074 1132611 1510148 2265222 3020296 3397833 4530444 6040592 6795666 9060888 13591332 18121776 27182664 54365328