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3782122530 = 235232673557
BaseRepresentation
bin1110000101101110…
…1001110000100010
3100202120201201202020
43201123221300202
530221210410110
61423144002310
7162503340204
oct34133516042
910676651666
103782122530
111670a006aa
12896760396
13483748134
1427c43a774
15172088d70
hexe16e9c22

3782122530 has 96 divisors (see below), whose sum is σ = 9633242304. Its totient is φ = 950049408.

The previous prime is 3782122523. The next prime is 3782122541. The reversal of 3782122530 is 352212873.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3782122491 and 3782122500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061512 + ... + 1065068.

It is an arithmetic number, because the mean of its divisors is an integer number (100346274).

Almost surely, 23782122530 is an apocalyptic number.

3782122530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782122530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816621152).

3782122530 is an abundant number, since it is smaller than the sum of its proper divisors (5851119774).

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

3782122530 is a wasteful number, since it uses less digits than its factorization.

3782122530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3782122530 is about 61498.9636498047. The cubic root of 3782122530 is about 1558.0397427851.

The spelling of 3782122530 in words is "three billion, seven hundred eighty-two million, one hundred twenty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 201 230 335 345 402 529 670 690 1005 1058 1541 1587 2010 2645 3082 3174 3557 4623 5290 7114 7705 7935 9246 10671 15410 15870 17785 21342 23115 35443 35570 46230 53355 70886 81811 106329 106710 163622 177215 212658 238319 245433 354430 409055 476638 490866 531645 714957 818110 1063290 1191595 1227165 1429914 1881653 2383190 2454330 3574785 3763306 5481337 5644959 7149570 9408265 10962674 11289918 16444011 18816530 27406685 28224795 32888022 54813370 56449590 82220055 126070751 164440110 252141502 378212253 630353755 756424506 1260707510 1891061265 3782122530