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39982848 = 28379659
BaseRepresentation
bin1001100010000…
…1011100000000
32210020100011020
42120201130000
540213422343
63544545440
7663564033
oct230413400
983210136
1039982848
1120629784
1211482280
13838bab9
14544b01a
15379bb83
hex2621700

39982848 has 72 divisors (see below), whose sum is σ = 107923200. Its totient is φ = 13138944.

The previous prime is 39982841. The next prime is 39982883. The reversal of 39982848 is 84828993.

It is a happy number.

It is a super-2 number, since 2×399828482 = 3197256268382208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39982848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39982841) 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, 60343 + ... + 61001.

Almost surely, 239982848 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 39982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961600).

39982848 is an abundant number, since it is smaller than the sum of its proper divisors (67940352).

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

39982848 is an equidigital number, since it uses as much as digits as its factorization.

39982848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 39982848 is about 6323.1991902833. The cubic root of 39982848 is about 341.9462998343.

The spelling of 39982848 in words is "thirty-nine million, nine hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 659 768 948 1264 1318 1896 1977 2528 2636 3792 3954 5056 5272 7584 7908 10112 10544 15168 15816 20224 21088 30336 31632 42176 52061 60672 63264 84352 104122 126528 156183 168704 208244 253056 312366 416488 506112 624732 832976 1249464 1665952 2498928 3331904 4997856 6663808 9995712 13327616 19991424 39982848