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2472140032 = 2829332993
BaseRepresentation
bin1001001101011001…
…1101110100000000
320101021202201120221
42103112131310000
520030331440112
61045150312424
7115155562225
oct22326356400
96337681527
102472140032
11105950543a
1258bab8714
1330522656b
1419647b94c
15e7075e07
hex9359dd00

2472140032 has 36 divisors (see below), whose sum is σ = 5104798020. Its totient is φ = 1193443328.

The previous prime is 2472139993. The next prime is 2472140057. The reversal of 2472140032 is 2300412742.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2107177216 + 364962816 = 45904^2 + 19104^2 .

It is a super-2 number, since 2×24721400322 = 12222952675633922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2472139979 and 2472140006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159073 + ... + 173920.

It is an arithmetic number, because the mean of its divisors is an integer number (141799945).

Almost surely, 22472140032 is an apocalyptic number.

It is an amenable number.

2472140032 is an abundant number, since it is smaller than the sum of its proper divisors (2632657988).

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

2472140032 is an equidigital number, since it uses as much as digits as its factorization.

2472140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333038 (or 333024 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2472140032 is about 49720.6197869656. The cubic root of 2472140032 is about 1352.1483912145.

Adding to 2472140032 its reverse (2300412742), we get a palindrome (4772552774).

The spelling of 2472140032 in words is "two billion, four hundred seventy-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 332993 665986 1331972 2663944 5327888 9656797 10655776 19313594 21311552 38627188 42623104 77254376 85246208 154508752 309017504 618035008 1236070016 2472140032