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46068840 = 23325731753
BaseRepresentation
bin1010111110111…
…1010001101000
310012200112120100
42233233101220
543243200330
64323225400
71066402326
oct257572150
9105615510
1046068840
1124006224
1213518260
13970cc8c
146192d16
1540a0060
hex2bef468

46068840 has 96 divisors (see below), whose sum is σ = 151861320. Its totient is φ = 12109824.

The previous prime is 46068833. The next prime is 46068859. The reversal of 46068840 is 4886064.

46068840 is a `hidden beast` number, since 4 + 606 + 8 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 20848356 = 5022^2 + 4566^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46068795 and 46068804.

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, 25404 + ... + 27156.

Almost surely, 246068840 is an apocalyptic number.

46068840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75930660).

46068840 is an abundant number, since it is smaller than the sum of its proper divisors (105792480).

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

46068840 is a wasteful number, since it uses less digits than its factorization.

46068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46068840 is about 6787.4030379815. The cubic root of 46068840 is about 358.4834349821.

The spelling of 46068840 in words is "forty-six million, sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 1753 2190 2628 2920 3285 3506 4380 5256 5259 6570 7012 8760 8765 10518 13140 14024 15777 17530 21036 26280 26295 31554 35060 42072 52590 63108 70120 78885 105180 126216 127969 157770 210360 255938 315540 383907 511876 631080 639845 767814 1023752 1151721 1279690 1535628 1919535 2303442 2559380 3071256 3839070 4606884 5118760 5758605 7678140 9213768 11517210 15356280 23034420 46068840