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46022016 = 273119849
BaseRepresentation
bin1010111110001…
…1110110000000
310012121011100010
42233203312000
543240201031
64322224520
71066115655
oct257436600
9105534303
1046022016
1123a84027
12134b5140
1396c4881
14617dc2c
154091246
hex2be3d80

46022016 has 32 divisors (see below), whose sum is σ = 122247000. Its totient is φ = 15340544.

The previous prime is 46021993. The next prime is 46022017. The reversal of 46022016 is 61022064.

It is a happy number.

46022016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 46021983 and 46022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46022017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59541 + ... + 60308.

Almost surely, 246022016 is an apocalyptic number.

It is an amenable number.

46022016 is an abundant number, since it is smaller than the sum of its proper divisors (76224984).

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

46022016 is a wasteful number, since it uses less digits than its factorization.

46022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119866 (or 119854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46022016 is about 6783.9528300247. The cubic root of 46022016 is about 358.3619405801.

The spelling of 46022016 in words is "forty-six million, twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 119849 239698 359547 479396 719094 958792 1438188 1917584 2876376 3835168 5752752 7670336 11505504 15340672 23011008 46022016