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2084088048 = 243737533163
BaseRepresentation
bin111110000111000…
…1010100011110000
312101020120122100020
41330032022203300
513232011304143
6542445123440
7102434312310
oct17416124360
95336518306
102084088048
1197a460219
124a1b59580
13272a093c3
1415ab07440
15c2e72883
hex7c38a8f0

2084088048 has 160 divisors (see below), whose sum is σ = 6440587776. Its totient is φ = 568249344.

The previous prime is 2084088047. The next prime is 2084088091. The reversal of 2084088048 is 8408804802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084088043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657315 + ... + 660477.

Almost surely, 22084088048 is an apocalyptic number.

2084088048 is a gapful number since it is divisible by the number (28) 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 2084088048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220293888).

2084088048 is an abundant number, since it is smaller than the sum of its proper divisors (4356499728).

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

2084088048 is a wasteful number, since it uses less digits than its factorization.

2084088048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 2084088048 is about 45651.8131950966. The cubic root of 2084088048 is about 1277.3365940277.

The spelling of 2084088048 in words is "two billion, eighty-four million, eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 53 56 74 84 106 111 112 148 159 168 212 222 259 296 318 336 371 424 444 518 592 636 742 777 848 888 1036 1113 1272 1484 1554 1776 1961 2072 2226 2544 2968 3108 3163 3922 4144 4452 5883 5936 6216 6326 7844 8904 9489 11766 12432 12652 13727 15688 17808 18978 22141 23532 25304 27454 31376 37956 41181 44282 47064 50608 54908 66423 75912 82362 88564 94128 109816 117031 132846 151824 164724 167639 177128 219632 234062 265692 329448 335278 351093 354256 468124 502917 531384 658896 670556 702186 819217 936248 1005834 1062768 1173473 1341112 1404372 1638434 1872496 2011668 2346946 2457651 2682224 2808744 3276868 3520419 4023336 4693892 4915302 5617488 6202643 6553736 7040838 8046672 9387784 9830604 12405286 13107472 14081676 18607929 18775568 19661208 24810572 28163352 37215858 39322416 43418501 49621144 56326704 74431716 86837002 99242288 130255503 148863432 173674004 260511006 297726864 347348008 521022012 694696016 1042044024 2084088048