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39054144 = 2631071901
BaseRepresentation
bin1001010011111…
…0101101000000
32201111011012210
42110332231000
534444213034
63513022120
7652645323
oct224765500
981434183
1039054144
1120054a58
12110b4940
13812517c
1452887ba
1536668e9
hex253eb40

39054144 has 56 divisors (see below), whose sum is σ = 104351328. Its totient is φ = 12889600.

The previous prime is 39054107. The next prime is 39054157. The reversal of 39054144 is 44145093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19594 + ... + 21494.

Almost surely, 239054144 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 39054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52175664).

39054144 is an abundant number, since it is smaller than the sum of its proper divisors (65297184).

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

39054144 is a wasteful number, since it uses less digits than its factorization.

39054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 39054144 is about 6249.3314842469. The cubic root of 39054144 is about 339.2780065639.

The spelling of 39054144 in words is "thirty-nine million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 1901 2568 3424 3802 5136 5703 6848 7604 10272 11406 15208 20544 22812 30416 45624 60832 91248 121664 182496 203407 364992 406814 610221 813628 1220442 1627256 2440884 3254512 4881768 6509024 9763536 13018048 19527072 39054144