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4020426456 = 2333129318443
BaseRepresentation
bin1110111110100010…
…1101011011011000
3101101012010211021120
43233220231123120
531213212121311
61502535405240
7201426026634
oct35750553330
911335124246
104020426456
1117834759a2
12942523820
134c0c23c87
142a1d4ddc4
15187e5c706
hexefa2d6d8

4020426456 has 64 divisors (see below), whose sum is σ = 10411269120. Its totient is φ = 1292415360.

The previous prime is 4020426433. The next prime is 4020426461. The reversal of 4020426456 is 6546240204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208771 + ... + 227213.

It is an arithmetic number, because the mean of its divisors is an integer number (162676080).

Almost surely, 24020426456 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 4020426456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205634560).

4020426456 is an abundant number, since it is smaller than the sum of its proper divisors (6390842664).

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

4020426456 is a wasteful number, since it uses less digits than its factorization.

4020426456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18776 (or 18772 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4020426456 is about 63406.8328810074. The cubic root of 4020426456 is about 1590.0985469556.

The spelling of 4020426456 in words is "four billion, twenty million, four hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 293 372 586 744 879 1172 1758 2344 3516 7032 9083 18166 18443 27249 36332 36886 54498 55329 72664 73772 108996 110658 147544 217992 221316 442632 571733 1143466 1715199 2286932 3430398 4573864 5403799 6860796 10807598 13721592 16211397 21615196 32422794 43230392 64845588 129691176 167517769 335035538 502553307 670071076 1005106614 1340142152 2010213228 4020426456