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46052928 = 263329919
BaseRepresentation
bin1010111110101…
…1011001000000
310012122201202000
42233223121000
543242143203
64323024000
71066305045
oct257533100
9105581660
1046052928
1123aa5279
121350b000
13970596c
14618b1cc
15409a4a3
hex2beb640

46052928 has 112 divisors (see below), whose sum is σ = 140208000. Its totient is φ = 14805504.

The previous prime is 46052911. The next prime is 46052933. The reversal of 46052928 is 82925064.

It is a happy number.

46052928 is a `hidden beast` number, since 4 + 605 + 29 + 28 = 666.

46052928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 46052892 and 46052901.

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 15 ways as a sum of consecutive naturals, for example, 49653 + ... + 50571.

Almost surely, 246052928 is an apocalyptic number.

46052928 is a gapful number since it is divisible by the number (48) 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 46052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70104000).

46052928 is an abundant number, since it is smaller than the sum of its proper divisors (94155072).

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

46052928 is a wasteful number, since it uses less digits than its factorization.

46052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46052928 is about 6786.2307653071. The cubic root of 46052928 is about 358.4421572965.

The spelling of 46052928 in words is "forty-six million, fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 919 928 1044 1392 1566 1728 1838 1856 2088 2757 2784 3132 3676 4176 5514 5568 6264 7352 8271 8352 11028 12528 14704 16542 16704 22056 24813 25056 26651 29408 33084 44112 49626 50112 53302 58816 66168 79953 88224 99252 106604 132336 159906 176448 198504 213208 239859 264672 319812 397008 426416 479718 529344 639624 719577 794016 852832 959436 1279248 1439154 1588032 1705664 1918872 2558496 2878308 3837744 5116992 5756616 7675488 11513232 15350976 23026464 46052928