Search a number
-
+
5407421652 = 22362936329
BaseRepresentation
bin1010000100100111…
…01011010011010100
3111221212000111000000
411002103223103110
542033244443102
62252323451300
7251000216463
oct50223532324
914855014000
105407421652
112325391a16
12106ab26b30
1368239b2a9
143942389da
15219ad401c
hex1424eb4d4

5407421652 has 84 divisors (see below), whose sum is σ = 14238664020. Its totient is φ = 1796038272.

The previous prime is 5407421633. The next prime is 5407421671. The reversal of 5407421652 is 2561247045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5407421633) and next prime (5407421671).

It can be written as a sum of positive squares in 2 ways, for example, as 4695812676 + 711608976 = 68526^2 + 26676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 851224 + ... + 857552.

It is an arithmetic number, because the mean of its divisors is an integer number (169507905).

Almost surely, 25407421652 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 5407421652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119332010).

5407421652 is an abundant number, since it is smaller than the sum of its proper divisors (8831242368).

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

5407421652 is a wasteful number, since it uses less digits than its factorization.

5407421652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5407421652 is about 73535.1728902571. The cubic root of 5407421652 is about 1755.2140172926.

Adding to 5407421652 its reverse (2561247045), we get a palindrome (7968668697).

The spelling of 5407421652 in words is "five billion, four hundred seven million, four hundred twenty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 293 324 486 586 729 879 972 1172 1458 1758 2637 2916 3516 5274 6329 7911 10548 12658 15822 18987 23733 25316 31644 37974 47466 56961 71199 75948 94932 113922 142398 170883 213597 227844 284796 341766 427194 512649 683532 854388 1025298 1537947 1854397 2050596 3075894 3708794 4613841 5563191 6151788 7417588 9227682 11126382 16689573 18455364 22252764 33379146 50068719 66758292 100137438 150206157 200274876 300412314 450618471 600824628 901236942 1351855413 1802473884 2703710826 5407421652