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54377664 = 2631125747
BaseRepresentation
bin1100111101101…
…1110011000000
310210022200010120
43033123303000
5102410041124
65221300240
71230126315
oct317336300
9123280116
1054377664
1128770820
1216264680
13b35bb43
147316d0c
154b91d79
hex33dbcc0

54377664 has 56 divisors (see below), whose sum is σ = 156959808. Its totient is φ = 16477440.

The previous prime is 54377663. The next prime is 54377683. The reversal of 54377664 is 46677345.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54377663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10762 + ... + 14985.

Almost surely, 254377664 is an apocalyptic number.

It is an amenable number.

54377664 is an abundant number, since it is smaller than the sum of its proper divisors (102582144).

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

54377664 is a wasteful number, since it uses less digits than its factorization.

54377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25773 (or 25763 counting only the distinct ones).

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

The square root of 54377664 is about 7374.1212357813. The cubic root of 54377664 is about 378.8554294828.

The spelling of 54377664 in words is "fifty-four million, three hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 25747 51494 77241 102988 154482 205976 283217 308964 411952 566434 617928 823904 849651 1132868 1235856 1647808 1699302 2265736 2471712 3398604 4531472 4943424 6797208 9062944 13594416 18125888 27188832 54377664