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2547093472 = 257119671069
BaseRepresentation
bin1001011111010001…
…1000111111100000
320120111210202101021
42113310120333200
520204023442342
61100425015224
7120055636330
oct22764307740
96514722337
102547093472
11109784a030
125b1024514
1331790a901
141a23cd0c0
15ed92e567
hex97d18fe0

2547093472 has 96 divisors (see below), whose sum is σ = 6264276480. Its totient is φ = 990420480.

The previous prime is 2547093467. The next prime is 2547093473. The reversal of 2547093472 is 2743907452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547093473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382154 + ... + 2383222.

It is an arithmetic number, because the mean of its divisors is an integer number (65252880).

Almost surely, 22547093472 is an apocalyptic number.

2547093472 is a gapful number since it is divisible by the number (22) 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 2547093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132138240).

2547093472 is an abundant number, since it is smaller than the sum of its proper divisors (3717183008).

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

2547093472 is a wasteful number, since it uses less digits than its factorization.

2547093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The square root of 2547093472 is about 50468.7375708963. The cubic root of 2547093472 is about 1365.6779400619.

The spelling of 2547093472 in words is "two billion, five hundred forty-seven million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 967 1069 1232 1934 2138 2464 3868 4276 6769 7483 7736 8552 10637 11759 13538 14966 15472 17104 21274 23518 27076 29932 30944 34208 42548 47036 54152 59864 74459 82313 85096 94072 108304 119728 148918 164626 170192 188144 216608 239456 297836 329252 340384 376288 595672 658504 1033723 1191344 1317008 2067446 2382688 2634016 4134892 7236061 8269784 11370953 14472122 16539568 22741906 28944244 33079136 45483812 57888488 79596671 90967624 115776976 159193342 181935248 231553952 318386684 363870496 636773368 1273546736 2547093472