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427140576 = 253283107167
BaseRepresentation
bin11001011101011…
…010010111100000
31002202201222201100
4121131122113200
51333321444301
6110215034400
713404430542
oct3135322740
91082658640
10427140576
111aa123045
12bb06ba00
136a654c05
1440a2b692
1527775286
hex1975a5e0

427140576 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 138515712.

The previous prime is 427140557. The next prime is 427140587. The reversal of 427140576 is 675041724.

427140576 is a `hidden beast` number, since 42 + 7 + 1 + 40 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4271405762 = 364898143331223552, which contains 22 as substring.

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 427140576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557645 + ... + 2557811.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2427140576 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 427140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

427140576 is an abundant number, since it is smaller than the sum of its proper divisors (821094048).

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

427140576 is a wasteful number, since it uses less digits than its factorization.

427140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427140576 is about 20667.3795145877. The cubic root of 427140576 is about 753.1074485697.

It can be divided in two parts, 427140 and 576, that added together give a square (427716 = 6542).

The spelling of 427140576 in words is "four hundred twenty-seven million, one hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 107 144 166 167 214 249 288 321 332 334 428 498 501 642 664 668 747 856 963 996 1002 1284 1328 1336 1494 1503 1712 1926 1992 2004 2568 2656 2672 2988 3006 3424 3852 3984 4008 5136 5344 5976 6012 7704 7968 8016 8881 10272 11952 12024 13861 15408 16032 17762 17869 23904 24048 26643 27722 30816 35524 35738 41583 48096 53286 53607 55444 71048 71476 79929 83166 106572 107214 110888 124749 142096 142952 159858 160821 166332 213144 214428 221776 249498 284192 285904 319716 321642 332664 426288 428856 443552 498996 571808 639432 643284 665328 852576 857712 997992 1278864 1286568 1330656 1483127 1715424 1995984 2557728 2573136 2966254 3991968 4449381 5146272 5932508 8898762 11865016 13348143 17797524 23730032 26696286 35595048 47460064 53392572 71190096 106785144 142380192 213570288 427140576