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6250272 = 253771131
BaseRepresentation
bin10111110101111100100000
3102202112202120
4113311330200
53100002042
6341544240
7104061240
oct27657440
912675676
106250272
113589a16
122115080
1313aabb2
14b89b20
15836dec
hex5f5f20

6250272 has 96 divisors (see below), whose sum is σ = 19160064. Its totient is φ = 1747200.

The previous prime is 6250261. The next prime is 6250301. The reversal of 6250272 is 2720526.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47647 + ... + 47777.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 26250272 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 6250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032).

6250272 is an abundant number, since it is smaller than the sum of its proper divisors (12909792).

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

6250272 is a wasteful number, since it uses less digits than its factorization.

6250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 6250272 is about 2500.0543994081. The cubic root of 6250272 is about 184.2042470441.

Adding to 6250272 its reverse (2720526), we get a palindrome (8970798).

It can be divided in two parts, 6 and 250272, that added together give a triangular number (250278 = T707).

The spelling of 6250272 in words is "six million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 131 142 168 213 224 262 284 336 393 426 497 524 568 672 786 852 917 994 1048 1136 1491 1572 1704 1834 1988 2096 2272 2751 2982 3144 3408 3668 3976 4192 5502 5964 6288 6816 7336 7952 9301 11004 11928 12576 14672 15904 18602 22008 23856 27903 29344 37204 44016 47712 55806 65107 74408 88032 111612 130214 148816 195321 223224 260428 297632 390642 446448 520856 781284 892896 1041712 1562568 2083424 3125136 6250272