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6249984 = 29313313
BaseRepresentation
bin10111110101111000000000
3102202112100220
4113311320000
53044444414
6341543040
7104060346
oct27657000
912675326
106249984
113589784
122114a80
1313aaa20
14b89996
15836ca9
hex5f5e00

6249984 has 80 divisors (see below), whose sum is σ = 17988432. Its totient is φ = 1916928.

The previous prime is 6249979. The next prime is 6249989. The reversal of 6249984 is 4899426.

It is an interprime number because it is at equal distance from previous prime (6249979) and next prime (6249989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6249989) by changing a digit.

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, 19812 + ... + 20124.

Almost surely, 26249984 is an apocalyptic number.

6249984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994216).

6249984 is an abundant number, since it is smaller than the sum of its proper divisors (11738448).

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

6249984 is a wasteful number, since it uses less digits than its factorization.

6249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 6249984 is about 2499.9967999980. The cubic root of 6249984 is about 184.2014177465.

It can be divided in two parts, 624 and 9984, that multiplied together give a square (6230016 = 24962).

The spelling of 6249984 in words is "six million, two hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 313 384 416 512 624 626 768 832 939 1248 1252 1536 1664 1878 2496 2504 3328 3756 4069 4992 5008 6656 7512 8138 9984 10016 12207 15024 16276 19968 20032 24414 30048 32552 40064 48828 60096 65104 80128 97656 120192 130208 160256 195312 240384 260416 390624 480768 520832 781248 1041664 1562496 2083328 3124992 6249984