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2059472304 = 24345329983
BaseRepresentation
bin111101011000001…
…0000110110110000
312022112021000220000
41322300100312300
513204211103204
6540205350000
7102015140301
oct17260206660
95275230800
102059472304
1196757802a
12495868300
1326a89b086
1415773a7a8
15c0c0e039
hex7ac10db0

2059472304 has 100 divisors (see below), whose sum is σ = 6073379136. Its totient is φ = 673515648.

The previous prime is 2059472297. The next prime is 2059472309. The reversal of 2059472304 is 4032749502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2059472309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53697 + ... + 83679.

Almost surely, 22059472304 is an apocalyptic number.

2059472304 is a gapful number since it is divisible by the number (24) 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 2059472304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036689568).

2059472304 is an abundant number, since it is smaller than the sum of its proper divisors (4013906832).

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

2059472304 is a wasteful number, since it uses less digits than its factorization.

2059472304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30056 (or 30041 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2059472304 is about 45381.4092332973. The cubic root of 2059472304 is about 1272.2876707856.

The spelling of 2059472304 in words is "two billion, fifty-nine million, four hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 17172 22896 29983 34344 59966 68688 89949 119932 179898 239864 269847 359796 479728 539694 719592 809541 1079388 1439184 1589099 1619082 2158776 2428623 3178198 3238164 4317552 4767297 4857246 6356396 6476328 9534594 9714492 12712792 12952656 14301891 19069188 19428984 25425584 28603782 38138376 38857968 42905673 57207564 76276752 85811346 114415128 128717019 171622692 228830256 257434038 343245384 514868076 686490768 1029736152 2059472304