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46980864 = 28337971
BaseRepresentation
bin1011001100110…
…1111100000000
310021101212122000
42303031330000
544011341424
64354544000
71110221310
oct263157400
9107355560
1046980864
1124579467
1213898000
13996c138
14634d440
1541d03c9
hex2ccdf00

46980864 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 13409280.

The previous prime is 46980859. The next prime is 46980887. The reversal of 46980864 is 46808964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47899 + ... + 48869.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 246980864 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 46980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

46980864 is an abundant number, since it is smaller than the sum of its proper divisors (111960576).

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

46980864 is an equidigital number, since it uses as much as digits as its factorization.

46980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46980864 is about 6854.2588220755. The cubic root of 46980864 is about 360.8336237087.

The spelling of 46980864 in words is "forty-six million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 971 1008 1152 1344 1512 1728 1792 1942 2016 2304 2688 2913 3024 3456 3884 4032 5376 5826 6048 6797 6912 7768 8064 8739 11652 12096 13594 15536 16128 17478 20391 23304 24192 26217 27188 31072 34956 40782 46608 48384 52434 54376 61173 62144 69912 81564 93216 104868 108752 122346 124288 139824 163128 183519 186432 209736 217504 244692 248576 279648 326256 367038 372864 419472 435008 489384 559296 652512 734076 745728 838944 870016 978768 1118592 1305024 1468152 1677888 1740032 1957536 2237184 2610048 2936304 3355776 3915072 5220096 5872608 6711552 7830144 11745216 15660288 23490432 46980864