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39045056 = 261722111
BaseRepresentation
bin1001010011110…
…0011111000000
32201110200202012
42110330133000
534443420211
63512512052
7652606661
oct224743700
981420665
1039045056
1120049146
12110ab628
138120cab
145285368
153663d8b
hex253c7c0

39045056 has 42 divisors (see below), whose sum is σ = 82344768. Its totient is φ = 18365440.

The previous prime is 39045043. The next prime is 39045059. The reversal of 39045056 is 65054093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39045059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17441 + ... + 19551.

Almost surely, 239045056 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 39045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41172384).

39045056 is an abundant number, since it is smaller than the sum of its proper divisors (43299712).

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

39045056 is a wasteful number, since it uses less digits than its factorization.

39045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 39045056 is about 6248.6043241671. The cubic root of 39045056 is about 339.2516875666.

The spelling of 39045056 in words is "thirty-nine million, forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2111 2312 4222 4624 8444 9248 16888 18496 33776 35887 67552 71774 135104 143548 287096 574192 610079 1148384 1220158 2296768 2440316 4880632 9761264 19522528 39045056