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1244048512 = 27759101233
BaseRepresentation
bin100101000100110…
…1010110010000000
310012200220012201211
41022021222302000
510021434023022
6323240135504
742554144410
oct11211526200
93180805654
101244048512
11589262073
122a8767594
1316a9779a5
14bb318640
157433be77
hex4a26ac80

1244048512 has 128 divisors (see below), whose sum is σ = 2921443200. Its totient is φ = 516710400.

The previous prime is 1244048461. The next prime is 1244048551. The reversal of 1244048512 is 2158404421.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5339148 + ... + 5339380.

It is an arithmetic number, because the mean of its divisors is an integer number (22823775).

Almost surely, 21244048512 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 1244048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460721600).

1244048512 is an abundant number, since it is smaller than the sum of its proper divisors (1677394688).

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

1244048512 is a wasteful number, since it uses less digits than its factorization.

1244048512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 1244048512 is about 35271.0718861789. The cubic root of 1244048512 is about 1075.5050122591.

The spelling of 1244048512 in words is "one billion, two hundred forty-four million, forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 101 112 118 128 202 224 233 236 404 413 448 466 472 707 808 826 896 932 944 1414 1616 1631 1652 1864 1888 2828 3232 3262 3304 3728 3776 5656 5959 6464 6524 6608 7456 7552 11312 11918 12928 13048 13216 13747 14912 22624 23533 23836 26096 26432 27494 29824 41713 45248 47066 47672 52192 52864 54988 83426 90496 94132 95344 96229 104384 109976 164731 166852 188264 190688 192458 208768 219952 329462 333704 376528 381376 384916 439904 658924 667408 753056 762752 769832 879808 1317848 1334816 1388447 1506112 1539664 1759616 2635696 2669632 2776894 3012224 3079328 5271392 5339264 5553788 6158656 9719129 10542784 11107576 12317312 19438258 21085568 22215152 38876516 44430304 77753032 88860608 155506064 177721216 311012128 622024256 1244048512