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46013832 = 2334174177
BaseRepresentation
bin1010111110000…
…1110110001000
310012120202010000
42233201312020
543234420312
64322123000
71066053054
oct257416610
9105522100
1046013832
1123a78967
12134b0460
1396c0c27
14617ac64
15408dadc
hex2be1d88

46013832 has 80 divisors (see below), whose sum is σ = 136495260. Its totient is φ = 14432256.

The previous prime is 46013813. The next prime is 46013857. The reversal of 46013832 is 23831064.

It is a happy number.

46013832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39012516 + 7001316 = 6246^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46013796 and 46013805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8928 + ... + 13104.

Almost surely, 246013832 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 46013832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68247630).

46013832 is an abundant number, since it is smaller than the sum of its proper divisors (90481428).

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

46013832 is a wasteful number, since it uses less digits than its factorization.

46013832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4199 counting only the distinct ones).

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

The square root of 46013832 is about 6783.3496150501. The cubic root of 46013832 is about 358.3406970664.

Adding to 46013832 its reverse (23831064), we get a palindrome (69844896).

The spelling of 46013832 in words is "forty-six million, thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 4177 5508 8354 11016 12531 16708 25062 33416 37593 50124 71009 75186 100248 112779 142018 150372 213027 225558 284036 300744 338337 426054 451116 568072 639081 676674 852108 902232 1278162 1353348 1704216 1917243 2556324 2706696 3834486 5112648 5751729 7668972 11503458 15337944 23006916 46013832