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4428093184 = 28195389193
BaseRepresentation
bin1000001111110111…
…10101011100000000
3102102121020102220021
410013323311130000
533032042440214
62011221223224
7214506112444
oct40773653400
912377212807
104428093184
1119725a7a49
12a36b61b14
1355751b0a8
1430014c824
151adb37924
hex107ef5700

4428093184 has 144 divisors (see below), whose sum is σ = 9635824800. Its totient is φ = 2024275968.

The previous prime is 4428093161. The next prime is 4428093191. The reversal of 4428093184 is 4813908244.

It is a self number, because there is not a number n which added to its sum of digits gives 4428093184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22943392 + ... + 22943584.

It is an arithmetic number, because the mean of its divisors is an integer number (66915450).

Almost surely, 24428093184 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 4428093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817912400).

4428093184 is an abundant number, since it is smaller than the sum of its proper divisors (5207731616).

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

4428093184 is a wasteful number, since it uses less digits than its factorization.

4428093184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 4428093184 is about 66543.9192112998. The cubic root of 4428093184 is about 1642.1226213651.

The spelling of 4428093184 in words is "four billion, four hundred twenty-eight million, ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 89 106 128 152 178 193 212 256 304 356 386 424 608 712 772 848 1007 1216 1424 1544 1691 1696 2014 2432 2848 3088 3382 3392 3667 4028 4717 4864 5696 6176 6764 6784 7334 8056 9434 10229 11392 12352 13528 13568 14668 16112 17177 18868 20458 22784 24704 27056 29336 32224 34354 37736 40916 49408 54112 58672 64448 68708 75472 81832 89623 108224 117344 128896 137416 150944 163664 179246 194351 216448 234688 257792 274832 301888 326363 327328 358492 388702 432896 469376 549664 603776 652726 654656 716984 777404 910381 938752 1099328 1207552 1305452 1309312 1433968 1554808 1820762 2198656 2610904 2618624 2867936 3109616 3641524 4397312 5221808 5735872 6219232 7283048 10443616 11471744 12438464 14566096 17297239 20887232 22943488 24876928 29132192 34594478 41774464 49753856 58264384 69188956 83548928 116528768 138377912 233057536 276755824 553511648 1107023296 2214046592 4428093184