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4082921472 = 2123726781
BaseRepresentation
bin1111001101011100…
…0111000000000000
3101112112201220022210
43303113013000000
531330211441342
61513051102120
7203115155100
oct36327070000
911475656283
104082921472
111805780373
1295b441940
13500b65786
142aa37b200
1518d6a479c
hexf35c7000

4082921472 has 156 divisors (see below), whose sum is σ = 12665710536. Its totient is φ = 1166376960.

The previous prime is 4082921471. The next prime is 4082921477. The reversal of 4082921472 is 2741292804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4082921472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082921471) 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 11 ways as a sum of consecutive naturals, for example, 598722 + ... + 605502.

Almost surely, 24082921472 is an apocalyptic number.

4082921472 is a gapful number since it is divisible by the number (42) 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 4082921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332855268).

4082921472 is an abundant number, since it is smaller than the sum of its proper divisors (8582789064).

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

4082921472 is an equidigital number, since it uses as much as digits as its factorization.

4082921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4082921472 is about 63897.7423075338. The cubic root of 4082921472 is about 1598.2952509559.

The spelling of 4082921472 in words is "four billion, eighty-two million, nine hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 6781 7168 9408 10752 12288 12544 13562 14336 18816 20343 21504 25088 27124 28672 37632 40686 43008 47467 50176 54248 75264 81372 86016 94934 100352 108496 142401 150528 162744 189868 200704 216992 284802 301056 325488 332269 379736 433984 569604 602112 650976 664538 759472 867968 996807 1139208 1301952 1329076 1518944 1735936 1993614 2278416 2603904 2658152 3037888 3471872 3987228 4556832 5207808 5316304 6075776 6943744 7974456 9113664 10415616 10632608 12151552 13887488 15948912 18227328 20831232 21265216 24303104 27774976 31897824 36454656 41662464 42530432 48606208 63795648 72909312 83324928 85060864 97212416 127591296 145818624 170121728 194424832 255182592 291637248 340243456 510365184 583274496 680486912 1020730368 1360973824 2041460736 4082921472