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46290240 = 2632516073
BaseRepresentation
bin1011000010010…
…1010101000000
310020002210021100
42300211111000
543322241430
64332054400
71101313653
oct260452500
9106083240
1046290240
11241475a7
1213604400
139789999
14620d89a
1540e5960
hex2c25540

46290240 has 84 divisors (see below), whose sum is σ = 159229044. Its totient is φ = 12343296.

The previous prime is 46290239. The next prime is 46290247. The reversal of 46290240 is 4209264.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 34012224 = 3504^2 + 5832^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46290247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5157 + ... + 10916.

Almost surely, 246290240 is an apocalyptic number.

46290240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46290240 is an abundant number, since it is smaller than the sum of its proper divisors (112938804).

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

46290240 is a wasteful number, since it uses less digits than its factorization.

46290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46290240 is about 6803.6931147723. The cubic root of 46290240 is about 359.0567901820.

The spelling of 46290240 in words is "forty-six million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 16073 32146 48219 64292 80365 96438 128584 144657 160730 192876 241095 257168 289314 321460 385752 482190 514336 578628 642920 723285 771504 964380 1028672 1157256 1285840 1446570 1543008 1928760 2314512 2571680 2893140 3086016 3857520 4629024 5143360 5786280 7715040 9258048 11572560 15430080 23145120 46290240