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39800064 = 283291787
BaseRepresentation
bin1001011111010…
…0110100000000
32202220001102110
42113310310000
540142100224
63541015320
7662203113
oct227646400
982801373
1039800064
1120514417
12113b4540
138326845
14540057a
153762929
hex25f4d00

39800064 has 72 divisors (see below), whose sum is σ = 109640160. Its totient is φ = 12802048.

The previous prime is 39800039. The next prime is 39800081. The reversal of 39800064 is 46000893.

It is a super-4 number, since 4×398000644 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21379 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (1522780).

Almost surely, 239800064 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 39800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54820080).

39800064 is an abundant number, since it is smaller than the sum of its proper divisors (69840096).

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

39800064 is a wasteful number, since it uses less digits than its factorization.

39800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 39800064 is about 6308.7291905740. The cubic root of 39800064 is about 341.4244277267.

The spelling of 39800064 in words is "thirty-nine million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1787 1856 2784 3574 3712 5361 5568 7148 7424 10722 11136 14296 21444 22272 28592 42888 51823 57184 85776 103646 114368 155469 171552 207292 228736 310938 343104 414584 457472 621876 686208 829168 1243752 1372416 1658336 2487504 3316672 4975008 6633344 9950016 13266688 19900032 39800064