Search a number
-
+
1028785296 = 243711377523
BaseRepresentation
bin111101010100100…
…000010010010000
32122200211201010010
4331110200102100
54101332112141
6250030234520
734331350020
oct7524402220
92580751103
101028785296
114887a4690
12248655a40
131351a82c6
149a8c1a80
15604ba416
hex3d520490

1028785296 has 160 divisors (see below), whose sum is σ = 3403496448. Its totient is φ = 259960320.

The previous prime is 1028785283. The next prime is 1028785327. The reversal of 1028785296 is 6925878201.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 132991 + ... + 140513.

Almost surely, 21028785296 is an apocalyptic number.

1028785296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028785296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701748224).

1028785296 is an abundant number, since it is smaller than the sum of its proper divisors (2374711152).

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

1028785296 is a wasteful number, since it uses less digits than its factorization.

1028785296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1028785296 is about 32074.6831005390. The cubic root of 1028785296 is about 1009.5044773805.

The spelling of 1028785296 in words is "one billion, twenty-eight million, seven hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2442 2849 3108 3256 3696 4144 4884 5698 6216 6512 7523 8547 9768 11396 12432 15046 17094 19536 22569 22792 30092 34188 45138 45584 52661 60184 68376 82753 90276 105322 120368 136752 157983 165506 180552 210644 248259 278351 315966 331012 361104 421288 496518 556702 579271 631932 662024 835053 842576 993036 1113404 1158542 1263864 1324048 1670106 1737813 1948457 1986072 2226808 2317084 2527728 3061861 3340212 3475626 3896914 3972144 4453616 4634168 5845371 6123722 6680424 6951252 7793828 9185583 9268336 11690742 12247444 13360848 13902504 15587656 18371166 21433027 23381484 24494888 27805008 31175312 36742332 42866054 46762968 48989776 64299081 73484664 85732108 93525936 128598162 146969328 171464216 257196324 342928432 514392648 1028785296