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2472619272 = 233318633851
BaseRepresentation
bin1001001101100001…
…0010110100001000
320101022200001222120
42103120102310020
520030442304042
61045204451240
7115162626354
oct22330226410
96338601876
102472619272
111059802502
125900a9b20
13305363736
14196564464
15e711cdec
hex93612d08

2472619272 has 64 divisors (see below), whose sum is σ = 6390005760. Its totient is φ = 796488000.

The previous prime is 2472619243. The next prime is 2472619273. The reversal of 2472619272 is 2729162742.

It is a super-2 number, since 2×24726192722 = 12227692128531619968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472619273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640147 + ... + 643997.

It is an arithmetic number, because the mean of its divisors is an integer number (99843840).

Almost surely, 22472619272 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 2472619272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195002880).

2472619272 is an abundant number, since it is smaller than the sum of its proper divisors (3917386488).

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

2472619272 is a wasteful number, since it uses less digits than its factorization.

2472619272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4750 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 2472619272 is about 49725.4388819244. The cubic root of 2472619272 is about 1352.2357597452.

The spelling of 2472619272 in words is "two billion, four hundred seventy-two million, six hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 863 1726 2589 3452 3851 5178 6904 7702 10356 11553 15404 20712 23106 26753 30808 46212 53506 80259 92424 107012 119381 160518 214024 238762 321036 358143 477524 642072 716286 955048 1432572 2865144 3323413 6646826 9970239 13293652 19940478 26587304 39880956 79761912 103025803 206051606 309077409 412103212 618154818 824206424 1236309636 2472619272