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3828117780 = 223357089107
BaseRepresentation
bin1110010000101100…
…0111000100010100
3100212210021112101000
43210023013010110
530314444232110
61431505503300
7163602315144
oct34413070424
910783245330
103828117780
111694966603
128aa041b30
13490130766
142845b0924
151761221c0
hexe42c7114

3828117780 has 48 divisors (see below), whose sum is σ = 11909701440. Its totient is φ = 1020831264.

The previous prime is 3828117779. The next prime is 3828117781. The reversal of 3828117780 is 877118283.

It is an interprime number because it is at equal distance from previous prime (3828117779) and next prime (3828117781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828117781) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3544014 + ... + 3545093.

It is an arithmetic number, because the mean of its divisors is an integer number (248118780).

Almost surely, 23828117780 is an apocalyptic number.

3828117780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828117780 is an abundant number, since it is smaller than the sum of its proper divisors (8081583660).

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

3828117780 is a wasteful number, since it uses less digits than its factorization.

3828117780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089125 (or 7089117 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 3828117780 is about 61871.7850073844. The cubic root of 3828117780 is about 1564.3302029542.

The spelling of 3828117780 in words is "three billion, eight hundred twenty-eight million, one hundred seventeen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 7089107 14178214 21267321 28356428 35445535 42534642 63801963 70891070 85069284 106336605 127603926 141782140 191405889 212673210 255207852 319009815 382811778 425346420 638019630 765623556 957029445 1276039260 1914058890 3828117780