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46072680 = 23352316693
BaseRepresentation
bin1010111111000…
…0001101101000
310012200201211120
42233300031220
543243311210
64323255240
71066416453
oct257601550
9105621746
1046072680
11240090a5
121351a520
139711954
14619449a
1540a1270
hex2bf0368

46072680 has 64 divisors (see below), whose sum is σ = 144236160. Its totient is φ = 11751168.

The previous prime is 46072673. The next prime is 46072711. The reversal of 46072680 is 8627064.

46072680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5587 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (2253690).

Almost surely, 246072680 is an apocalyptic number.

46072680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46072680 is an abundant number, since it is smaller than the sum of its proper divisors (98163480).

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

46072680 is a wasteful number, since it uses less digits than its factorization.

46072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 46072680 is about 6787.6859090562. The cubic root of 46072680 is about 358.4933949908.

The spelling of 46072680 in words is "forty-six million, seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 16693 33386 50079 66772 83465 100158 133544 166930 200316 250395 333860 383939 400632 500790 667720 767878 1001580 1151817 1535756 1919695 2003160 2303634 3071512 3839390 4607268 5759085 7678780 9214536 11518170 15357560 23036340 46072680