Search a number
-
+
46823840 = 255797431
BaseRepresentation
bin1011001010011…
…1100110100000
310021002220020022
42302213212200
543441330330
64351333012
71105665440
oct262474640
9107086208
1046823840
1124481498
1213821168
13991581b
14630c120
15419dae5
hex2ca79a0

46823840 has 96 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 15851520.

The previous prime is 46823839. The next prime is 46823863. The reversal of 46823840 is 4832864.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 46823840.

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, 108425 + ... + 108855.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 246823840 is an apocalyptic number.

46823840 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 46823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

46823840 is an abundant number, since it is smaller than the sum of its proper divisors (81200224).

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

46823840 is a wasteful number, since it uses less digits than its factorization.

46823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 46823840 is about 6842.7947506848. The cubic root of 46823840 is about 360.4311706252.

The spelling of 46823840 in words is "forty-six million, eight hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 431 485 560 679 776 862 970 1120 1358 1552 1724 1940 2155 2716 3017 3104 3395 3448 3880 4310 5432 6034 6790 6896 7760 8620 10864 12068 13580 13792 15085 15520 17240 21728 24136 27160 30170 34480 41807 48272 54320 60340 68960 83614 96544 108640 120680 167228 209035 241360 292649 334456 418070 482720 585298 668912 836140 1170596 1337824 1463245 1672280 2341192 2926490 3344560 4682384 5852980 6689120 9364768 11705960 23411920 46823840