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2428894296 = 2333149163463
BaseRepresentation
bin1001000011000101…
…1111110001011000
320021021101121121000
42100301133301120
514433244104141
61041003345000
7114122155323
oct22061376130
96237347530
102428894296
111037058264
12579522160
132c929457a
141908217ba
15e33825b6
hex90c5fc58

2428894296 has 128 divisors (see below), whose sum is σ = 6848640000. Its totient is φ = 797537664.

The previous prime is 2428894271. The next prime is 2428894331. The reversal of 2428894296 is 6924988242.

It is a super-2 number, since 2×24288942962 = 11799055002282671232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245761 + ... + 5246223.

It is an arithmetic number, because the mean of its divisors is an integer number (53505000).

Almost surely, 22428894296 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 2428894296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424320000).

2428894296 is an abundant number, since it is smaller than the sum of its proper divisors (4419745704).

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

2428894296 is a wasteful number, since it uses less digits than its factorization.

2428894296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2428894296 is about 49283.8137322996. The cubic root of 2428894296 is about 1344.2174791562.

The spelling of 2428894296 in words is "two billion, four hundred twenty-eight million, eight hundred ninety-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 163 216 298 326 447 463 489 596 652 894 926 978 1192 1304 1341 1389 1467 1788 1852 1956 2682 2778 2934 3576 3704 3912 4023 4167 4401 5364 5556 5868 8046 8334 8802 10728 11112 11736 12501 16092 16668 17604 24287 25002 32184 33336 35208 48574 50004 68987 72861 75469 97148 100008 137974 145722 150938 194296 206961 218583 226407 275948 291444 301876 413922 437166 452814 551896 582888 603752 620883 655749 679221 827844 874332 905628 1241766 1311498 1358442 1655688 1748664 1811256 1862649 2037663 2483532 2622996 2716884 3725298 4075326 4967064 5245992 5433768 7450596 8150652 11244881 14901192 16301304 22489762 33734643 44979524 67469286 89959048 101203929 134938572 202407858 269877144 303611787 404815716 607223574 809631432 1214447148 2428894296