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46135296 = 211322503
BaseRepresentation
bin1010111111111…
…1100000000000
310012210220201200
42233333200000
543302312141
64324501200
71100100144
oct257774000
9105726650
1046135296
1124051149
121354a800
1397342bc
1461ad224
1540b4ab6
hex2bff800

46135296 has 72 divisors (see below), whose sum is σ = 133300440. Its totient is φ = 15372288.

The previous prime is 46135283. The next prime is 46135307. The reversal of 46135296 is 69253164.

It is a happy number.

46135296 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 (72).

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 46135296.

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 5 ways as a sum of consecutive naturals, for example, 17181 + ... + 19683.

It is an arithmetic number, because the mean of its divisors is an integer number (1851395).

Almost surely, 246135296 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 46135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66650220).

46135296 is an abundant number, since it is smaller than the sum of its proper divisors (87165144).

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

46135296 is a wasteful number, since it uses less digits than its factorization.

46135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2508 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 46135296 is about 6792.2968133026. The cubic root of 46135296 is about 358.6557273527.

The spelling of 46135296 in words is "forty-six million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2503 3072 4608 5006 6144 7509 9216 10012 15018 18432 20024 22527 30036 40048 45054 60072 80096 90108 120144 160192 180216 240288 320384 360432 480576 640768 720864 961152 1281536 1441728 1922304 2563072 2883456 3844608 5126144 5766912 7689216 11533824 15378432 23067648 46135296