Search a number
-
+
46141344 = 25321311223
BaseRepresentation
bin1011000000000…
…0111110100000
310012211020000200
42300000332200
543303010334
64324545200
71100123604
oct260007640
9105736020
1046141344
1124055747
1213552200
139736c92
1461b1504
1540b6799
hex2c00fa0

46141344 has 72 divisors (see below), whose sum is σ = 132324192. Its totient is φ = 15250560.

The previous prime is 46141327. The next prime is 46141351. The reversal of 46141344 is 44314164.

46141344 is a `hidden beast` number, since 4 + 614 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×461413442 = 4258047252252672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37117 + ... + 38339.

It is an arithmetic number, because the mean of its divisors is an integer number (1837836).

Almost surely, 246141344 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 46141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66162096).

46141344 is an abundant number, since it is smaller than the sum of its proper divisors (86182848).

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

46141344 is a wasteful number, since it uses less digits than its factorization.

46141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 46141344 is about 6792.7420089387. The cubic root of 46141344 is about 358.6713990491.

The spelling of 46141344 in words is "forty-six million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1223 1572 2096 2358 2446 3144 3669 4192 4716 4892 6288 7338 9432 9784 11007 12576 14676 18864 19568 22014 29352 37728 39136 44028 58704 88056 117408 160213 176112 320426 352224 480639 640852 961278 1281704 1441917 1922556 2563408 2883834 3845112 5126816 5767668 7690224 11535336 15380448 23070672 46141344