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5308992 = 263213709
BaseRepresentation
bin10100010000001001000000
3100222201120100
4110100021000
52324341432
6305442400
763061053
oct24201100
910881510
105308992
112aa67a7
121940400
13113b620
149c2a9a
156ed07c
hex510240

5308992 has 84 divisors (see below), whose sum is σ = 16410940. Its totient is φ = 1631232.

The previous prime is 5308991. The next prime is 5308993. The reversal of 5308992 is 2998035.

It is an interprime number because it is at equal distance from previous prime (5308991) and next prime (5308993).

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 4562496 = 864^2 + 2136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5308991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7134 + ... + 7842.

Almost surely, 25308992 is an apocalyptic number.

5308992 is a gapful number since it is divisible by the number (52) 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 5308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205470).

5308992 is an abundant number, since it is smaller than the sum of its proper divisors (11101948).

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

5308992 is a wasteful number, since it uses less digits than its factorization.

5308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5308992 is about 2304.1249966093. The cubic root of 5308992 is about 174.4498861302.

The spelling of 5308992 in words is "five million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 709 832 936 1248 1418 1872 2127 2496 2836 3744 4254 5672 6381 7488 8508 9217 11344 12762 17016 18434 22688 25524 27651 34032 36868 45376 51048 55302 68064 73736 82953 102096 110604 136128 147472 165906 204192 221208 294944 331812 408384 442416 589888 663624 884832 1327248 1769664 2654496 5308992