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426066576 = 24313253991
BaseRepresentation
bin11001011001010…
…100001010010000
31002200201102110120
4121121110022100
51333033112301
6110140030240
713362335415
oct3131241220
91080642416
10426066576
111a955a141
12ba832380
136a36a100
144082c10c
1527611e36
hex19654290

426066576 has 120 divisors (see below), whose sum is σ = 1215565056. Its totient is φ = 128494080.

The previous prime is 426066569. The next prime is 426066587. The reversal of 426066576 is 675660624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429441 + ... + 430431.

Almost surely, 2426066576 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 426066576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607782528).

426066576 is an abundant number, since it is smaller than the sum of its proper divisors (789498480).

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

426066576 is a wasteful number, since it uses less digits than its factorization.

426066576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 426066576 is about 20641.3801864120. The cubic root of 426066576 is about 752.4757156727.

The spelling of 426066576 in words is "four hundred twenty-six million, sixty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 169 208 212 312 318 338 424 507 624 636 676 689 848 991 1014 1272 1352 1378 1982 2028 2067 2544 2704 2756 2973 3964 4056 4134 5512 5946 7928 8112 8268 8957 11024 11892 12883 15856 16536 17914 23784 25766 26871 33072 35828 38649 47568 51532 52523 53742 71656 77298 103064 105046 107484 143312 154596 157569 167479 206128 210092 214968 309192 315138 334958 420184 429936 502437 618384 630276 669916 682799 840368 1004874 1260552 1339832 1365598 2009748 2048397 2521104 2679664 2731196 4019496 4096794 5462392 8038992 8193588 8876387 10924784 16387176 17752774 26629161 32774352 35505548 53258322 71011096 106516644 142022192 213033288 426066576