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534056016 = 243132393581
BaseRepresentation
bin11111110101010…
…000110001010000
31101012220212010110
4133311100301100
52043204243031
6124554401320
716143254424
oct3765206120
91335825113
10534056016
1125450820a
1212aa30240
138684a2a0
1450cdcb84
1531d43c46
hex1fd50c50

534056016 has 80 divisors (see below), whose sum is σ = 1492404480. Its totient is φ = 163591680.

The previous prime is 534055999. The next prime is 534056041. The reversal of 534056016 is 610650435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147346 + ... + 150926.

It is an arithmetic number, because the mean of its divisors is an integer number (18655056).

Almost surely, 2534056016 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 534056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746202240).

534056016 is an abundant number, since it is smaller than the sum of its proper divisors (958348464).

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

534056016 is a wasteful number, since it uses less digits than its factorization.

534056016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 534056016 is about 23109.6520094959. The cubic root of 534056016 is about 811.3263925852.

The spelling of 534056016 in words is "five hundred thirty-four million, fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 956 1434 1912 2868 3107 3581 3824 5736 6214 7162 9321 10743 11472 12428 14324 18642 21486 24856 28648 37284 42972 46553 49712 57296 74568 85944 93106 139659 149136 171888 186212 279318 372424 558636 744848 855859 1117272 1711718 2234544 2567577 3423436 5135154 6846872 10270308 11126167 13693744 20540616 22252334 33378501 41081232 44504668 66757002 89009336 133514004 178018672 267028008 534056016