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4286354940 = 2232573401869
BaseRepresentation
bin1111111101111100…
…1001010111111100
3102001201112101120200
43333133021113330
532234301324230
61545155243500
7211135262430
oct37737112774
912051471520
104286354940
1118aa5989aa
129b75a9590
135340527ca
142c93b49c0
151a148b160
hexff7c95fc

4286354940 has 72 divisors (see below), whose sum is σ = 14859368160. Its totient is φ = 979737984.

The previous prime is 4286354879. The next prime is 4286354981. The reversal of 4286354940 is 494536824.

4286354940 is a `hidden beast` number, since 4 + 2 + 8 + 63 + 549 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699675 + ... + 1702194.

Almost surely, 24286354940 is an apocalyptic number.

It is an amenable number.

4286354940 is an abundant number, since it is smaller than the sum of its proper divisors (10573013220).

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

4286354940 is a wasteful number, since it uses less digits than its factorization.

4286354940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401891 (or 3401886 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4286354940 is about 65470.2599658807. The cubic root of 4286354940 is about 1624.4114558208.

The spelling of 4286354940 in words is "four billion, two hundred eighty-six million, three hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3401869 6803738 10205607 13607476 17009345 20411214 23813083 30616821 34018690 40822428 47626166 51028035 61233642 68037380 71439249 95252332 102056070 119065415 122467284 142878498 153084105 204112140 214317747 238130830 285756996 306168210 357196245 428635494 476261660 612336420 714392490 857270988 1071588735 1428784980 2143177470 4286354940