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1427041476 = 223473120297
BaseRepresentation
bin101010100001110…
…1110110011000100
310200110020012220000
41111003232303010
510410310311401
6353334241300
750235436530
oct12503566304
93613205800
101427041476
11672589423
12339ab6230
13199858c53
14d7750bc0
1585437186
hex550eecc4

1427041476 has 120 divisors (see below), whose sum is σ = 4401255936. Its totient is φ = 394554240.

The previous prime is 1427041439. The next prime is 1427041477. The reversal of 1427041476 is 6741407241.

It is a happy number.

1427041476 is a `hidden beast` number, since 142 + 7 + 0 + 41 + 476 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1427041476.

It is not an unprimeable number, because it can be changed into a prime (1427041477) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60160 + ... + 80456.

Almost surely, 21427041476 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 1427041476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200627968).

1427041476 is an abundant number, since it is smaller than the sum of its proper divisors (2974214460).

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

1427041476 is a wasteful number, since it uses less digits than its factorization.

1427041476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20351 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1427041476 is about 37776.2025089871. The cubic root of 1427041476 is about 1125.8456787984.

The spelling of 1427041476 in words is "one billion, four hundred twenty-seven million, forty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 20297 23436 35154 40594 60891 70308 81188 121782 142079 182673 243564 284158 365346 426237 548019 568316 629207 730692 852474 1096038 1258414 1278711 1644057 1704948 1887621 2192076 2516828 2557422 3288114 3775242 3836133 4404449 5114844 5662863 6576228 7550484 7672266 8808898 11325726 11508399 13213347 15344532 16988589 17617796 22651452 23016798 26426694 33977178 39640041 46033596 50965767 52853388 67954356 79280082 101931534 118920123 158560164 203863068 237840246 356760369 475680492 713520738 1427041476