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5319972 = 2233731227
BaseRepresentation
bin10100010010110100100100
3101000021122000
4110102310210
52330214342
6310005300
763135060
oct24226444
911007560
105319972
113003a79
121946830
131143618
149c6aa0
1570144c
hex512d24

5319972 has 96 divisors (see below), whose sum is σ = 16343040. Its totient is φ = 1464480.

The previous prime is 5319967. The next prime is 5319989. The reversal of 5319972 is 2799135.

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

It is a d-powerful number, because it can be written as 55 + 3 + 1 + 96 + 97 + 74 + 25 .

Its product of digits (17010) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23323 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (170240).

Almost surely, 25319972 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 5319972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171520).

5319972 is an abundant number, since it is smaller than the sum of its proper divisors (11023068).

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

5319972 is a wasteful number, since it uses less digits than its factorization.

5319972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 5319972 is about 2306.5064491564. The cubic root of 5319972 is about 174.5700684394.

The spelling of 5319972 in words is "five million, three hundred nineteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 227 252 279 372 378 434 454 558 651 681 756 837 868 908 1116 1302 1362 1589 1674 1953 2043 2604 2724 3178 3348 3906 4086 4767 5859 6129 6356 7037 7812 8172 9534 11718 12258 14074 14301 19068 21111 23436 24516 28148 28602 42222 42903 49259 57204 63333 84444 85806 98518 126666 147777 171612 189999 197036 253332 295554 379998 443331 591108 759996 886662 1329993 1773324 2659986 5319972