Search a number
-
+
1428402272 = 251159109631
BaseRepresentation
bin101010100100011…
…1011000001100000
310200112210100112212
41111020323001200
510411132333042
6353423341252
750253135053
oct12510730140
93615710485
101428402272
11673328850
1233a451828
13199c1445b
14d79c6a9a
1585605482
hex5523b060

1428402272 has 96 divisors (see below), whose sum is σ = 3153427200. Its totient is φ = 631411200.

The previous prime is 1428402263. The next prime is 1428402277. The reversal of 1428402272 is 2722048241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428402277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263397 + ... + 2264027.

It is an arithmetic number, because the mean of its divisors is an integer number (32848200).

Almost surely, 21428402272 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 1428402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576713600).

1428402272 is an abundant number, since it is smaller than the sum of its proper divisors (1725024928).

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

1428402272 is a wasteful number, since it uses less digits than its factorization.

1428402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 1428402272 is about 37794.2095035734. The cubic root of 1428402272 is about 1126.2034258353.

The spelling of 1428402272 in words is "one billion, four hundred twenty-eight million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 109 118 176 218 236 352 436 472 631 649 872 944 1199 1262 1298 1744 1888 2398 2524 2596 3488 4796 5048 5192 6431 6941 9592 10096 10384 12862 13882 19184 20192 20768 25724 27764 37229 38368 51448 55528 68779 70741 74458 102896 111056 137558 141482 148916 205792 222112 275116 282964 297832 409519 550232 565928 595664 756569 819038 1100464 1131856 1191328 1513138 1638076 2200928 2263712 3026276 3276152 4057961 6052552 6552304 8115922 12105104 13104608 16231844 24210208 32463688 44637571 64927376 89275142 129854752 178550284 357100568 714201136 1428402272