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46030896 = 2433127839
BaseRepresentation
bin1010111110011…
…0000000110000
310012121121112000
42233212000300
543240442041
64322334000
71066153602
oct257460060
9105547460
1046030896
1123a8a76a
12134ba300
1396c8922
146183172
154093bb6
hex2be6030

46030896 has 80 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 15204672.

The previous prime is 46030861. The next prime is 46030903. The reversal of 46030896 is 69803064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46030896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54445 + ... + 55283.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 246030896 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 46030896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

46030896 is an abundant number, since it is smaller than the sum of its proper divisors (87293904).

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

46030896 is a wasteful number, since it uses less digits than its factorization.

46030896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46030896 is about 6784.6072841396. The cubic root of 46030896 is about 358.3849878783.

The spelling of 46030896 in words is "forty-six million, thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 839 1016 1143 1524 1678 2032 2286 2517 3048 3356 3429 4572 5034 6096 6712 6858 7551 9144 10068 13424 13716 15102 18288 20136 22653 27432 30204 40272 45306 54864 60408 90612 106553 120816 181224 213106 319659 362448 426212 639318 852424 958977 1278636 1704848 1917954 2557272 2876931 3835908 5114544 5753862 7671816 11507724 15343632 23015448 46030896