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2451140032 = 261110693257
BaseRepresentation
bin1001001000011001…
…0110110111000000
320022211020211000011
42102012112313000
520004442440112
61043120234304
7114512226565
oct22206266700
96284224004
102451140032
111048671870
12584a6b994
13300a82c23
1419377286c
15e52c8aa7
hex92196dc0

2451140032 has 56 divisors (see below), whose sum is σ = 5312755440. Its totient is φ = 1112770560.

The previous prime is 2451139997. The next prime is 2451140071. The reversal of 2451140032 is 2300411542.

It is a super-2 number, since 2×24511400322 = 12016174912945922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2451139985 and 2451140012.

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 7 ways as a sum of consecutive naturals, for example, 750948 + ... + 754204.

Almost surely, 22451140032 is an apocalyptic number.

2451140032 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 2451140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656377720).

2451140032 is an abundant number, since it is smaller than the sum of its proper divisors (2861615408).

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

2451140032 is a wasteful number, since it uses less digits than its factorization.

2451140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2451140032 is about 49508.9894059655. The cubic root of 2451140032 is about 1348.3088163554.

Adding to 2451140032 its reverse (2300411542), we get a palindrome (4751551574).

The spelling of 2451140032 in words is "two billion, four hundred fifty-one million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1069 2138 3257 4276 6514 8552 11759 13028 17104 23518 26056 34208 35827 47036 52112 68416 71654 94072 104224 143308 188144 208448 286616 376288 573232 752576 1146464 2292928 3481733 6963466 13926932 27853864 38299063 55707728 76598126 111415456 153196252 222830912 306392504 612785008 1225570016 2451140032