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5306125428 = 223397691733
BaseRepresentation
bin1001111000100010…
…10000110001110100
3111200210102002201000
410330101100301310
541331332003203
62234304403300
7245330215302
oct47421206164
914623362630
105306125428
11228319562a
121041016530
136673c27b6
143849cb272
15210c754a3
hex13c450c74

5306125428 has 96 divisors (see below), whose sum is σ = 13937544320. Its totient is φ = 1745556480.

The previous prime is 5306125427. The next prime is 5306125439. The reversal of 5306125428 is 8245216035.

5306125428 is a `hidden beast` number, since 5 + 30 + 612 + 5 + 4 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5306125392 and 5306125401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306125423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7238550 + ... + 7239282.

Almost surely, 25306125428 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 5306125428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968772160).

5306125428 is an abundant number, since it is smaller than the sum of its proper divisors (8631418892).

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

5306125428 is a wasteful number, since it uses less digits than its factorization.

5306125428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5306125428 is about 72843.1563566544. The cubic root of 5306125428 is about 1744.1848260512.

The spelling of 5306125428 in words is "five billion, three hundred six million, one hundred twenty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 691 733 873 1164 1382 1466 1746 2073 2199 2619 2764 2932 3492 4146 4398 5238 6219 6597 8292 8796 10476 12438 13194 18657 19791 24876 26388 37314 39582 67027 71101 74628 79164 134054 142202 201081 213303 268108 284404 402162 426606 506503 603243 639909 804324 853212 1013006 1206486 1279818 1519509 1809729 1919727 2026012 2412972 2559636 3039018 3619458 3839454 4558527 6078036 7238916 7678908 9117054 13675581 18234108 27351162 49130791 54702324 98261582 147392373 196523164 294784746 442177119 589569492 884354238 1326531357 1768708476 2653062714 5306125428