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4032130428 = 223480915383
BaseRepresentation
bin1111000001010101…
…0110110101111100
3101102000011110010000
43300111112311330
531224211133203
61504034314300
7201630354204
oct36025266574
911360143100
104032130428
11178a03a2a7
12946428990
134c34912c1
142a3719404
15188ec04a3
hexf0556d7c

4032130428 has 60 divisors (see below), whose sum is σ = 10554500880. Its totient is φ = 1342294848.

The previous prime is 4032130379. The next prime is 4032130441. The reversal of 4032130428 is 8240312304.

4032130428 is a `hidden beast` number, since 403 + 213 + 0 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 254425 + ... + 269807.

It is an arithmetic number, because the mean of its divisors is an integer number (175908348).

Almost surely, 24032130428 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 4032130428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277250440).

4032130428 is an abundant number, since it is smaller than the sum of its proper divisors (6522370452).

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

4032130428 is a wasteful number, since it uses less digits than its factorization.

4032130428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16208 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4032130428 is about 63499.0584812090. The cubic root of 4032130428 is about 1591.6400450262.

The spelling of 4032130428 in words is "four billion, thirty-two million, one hundred thirty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 809 1618 2427 3236 4854 7281 9708 14562 15383 21843 29124 30766 43686 46149 61532 65529 87372 92298 131058 138447 184596 262116 276894 415341 553788 830682 1246023 1661364 2492046 4984092 12444847 24889694 37334541 49779388 74669082 112003623 149338164 224007246 336010869 448014492 672021738 1008032607 1344043476 2016065214 4032130428