Search a number
-
+
5612679540 = 22345131761257
BaseRepresentation
bin1010011101000101…
…01011000101110100
3112111011020122220000
411032202223011310
542443321221130
62324535111300
7256041663126
oct51642530564
915434218800
105612679540
112420236236
121107812530
136b5a76870
143b35c9216
1522cb2b260
hex14e8ab174

5612679540 has 480 divisors, whose sum is σ = 20485501344. Its totient is φ = 1274019840.

The previous prime is 5612679539. The next prime is 5612679559. The reversal of 5612679540 is 459762165.

It can be written as a sum of positive squares in 16 ways, for example, as 1210622436 + 4402057104 = 34794^2 + 66348^2 .

It is a super-2 number, since 2×56126795402 = 63004343237469223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21839092 + ... + 21839348.

Almost surely, 25612679540 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 5612679540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10242750672).

5612679540 is an abundant number, since it is smaller than the sum of its proper divisors (14872821804).

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

5612679540 is a wasteful number, since it uses less digits than its factorization.

5612679540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5612679540 is about 74917.8185747556. The cubic root of 5612679540 is about 1777.1472568204.

The spelling of 5612679540 in words is "five billion, six hundred twelve million, six hundred seventy-nine thousand, five hundred forty".