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5344272 = 243389139
BaseRepresentation
bin10100011000110000010000
3101001111222000
4110120300100
52332004042
6310314000
763265653
oct24306020
911044860
105344272
11302025a
121958900
1311516bb
149d189a
1570874c
hex518c10

5344272 has 80 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1748736.

The previous prime is 5344267. The next prime is 5344277. The reversal of 5344272 is 2724435.

It is an interprime number because it is at equal distance from previous prime (5344267) and next prime (5344277).

It is a super-2 number, since 2×53442722 = 57122486419968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5344277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38379 + ... + 38517.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 25344272 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 5344272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

5344272 is an abundant number, since it is smaller than the sum of its proper divisors (10279728).

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

5344272 is a wasteful number, since it uses less digits than its factorization.

5344272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 5344272 is about 2311.7681544653. The cubic root of 5344272 is about 174.8354589467.

The spelling of 5344272 in words is "five million, three hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 139 144 178 216 267 278 356 417 432 534 556 712 801 834 1068 1112 1251 1424 1602 1668 2136 2224 2403 2502 3204 3336 3753 4272 4806 5004 6408 6672 7506 9612 10008 12371 12816 15012 19224 20016 24742 30024 37113 38448 49484 60048 74226 98968 111339 148452 197936 222678 296904 334017 445356 593808 668034 890712 1336068 1781424 2672136 5344272