Search a number
-
+
1438918056 = 2332291993463
BaseRepresentation
bin101010111000100…
…0010010110101000
310201021120121111100
41111301002112220
510421330334211
6354441001400
750441413242
oct12561022650
93637517440
101438918056
11679260484
12341a83260
1319c156a04
14d9163092
15864d1156
hex55c425a8

1438918056 has 96 divisors (see below), whose sum is σ = 4052880000. Its totient is φ = 460639872.

The previous prime is 1438918037. The next prime is 1438918069. The reversal of 1438918056 is 6508198341.

1438918056 is a `hidden beast` number, since 1 + 438 + 91 + 80 + 56 = 666.

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 23 ways as a sum of consecutive naturals, for example, 413781 + ... + 417243.

It is an arithmetic number, because the mean of its divisors is an integer number (42217500).

Almost surely, 21438918056 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 1438918056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026440000).

1438918056 is an abundant number, since it is smaller than the sum of its proper divisors (2613961944).

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

1438918056 is a wasteful number, since it uses less digits than its factorization.

1438918056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1438918056 is about 37933.0733793085. The cubic root of 1438918056 is about 1128.9603448275.

The spelling of 1438918056 in words is "one billion, four hundred thirty-eight million, nine hundred eighteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 199 232 261 348 398 522 597 696 796 1044 1194 1592 1791 2088 2388 3463 3582 4776 5771 6926 7164 10389 11542 13852 14328 17313 20778 23084 27704 31167 34626 41556 46168 51939 62334 69252 83112 100427 103878 124668 138504 200854 207756 249336 301281 401708 415512 602562 689137 803416 903843 1205124 1378274 1807686 2067411 2410248 2756548 3615372 4134822 5513096 6202233 7230744 8269644 12404466 16539288 19984973 24808932 39969946 49617864 59954919 79939892 119909838 159879784 179864757 239819676 359729514 479639352 719459028 1438918056