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2732009904 = 2433131034723
BaseRepresentation
bin1010001011010111…
…0010100110110000
321001101202111001000
42202311302212300
521043343304104
61131032242000
7124462462311
oct24265624660
97041674030
102732009904
11118216a528
12642b40300
13347013510
141bcba6608
1510eca9639
hexa2d729b0

2732009904 has 160 divisors (see below), whose sum is σ = 8528898560. Its totient is φ = 832280832.

The previous prime is 2732009887. The next prime is 2732009941. The reversal of 2732009904 is 4099002372.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576087 + ... + 580809.

It is an arithmetic number, because the mean of its divisors is an integer number (53305616).

Almost surely, 22732009904 is an apocalyptic number.

2732009904 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 2732009904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264449280).

2732009904 is an abundant number, since it is smaller than the sum of its proper divisors (5796888656).

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

2732009904 is a wasteful number, since it uses less digits than its factorization.

2732009904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2732009904 is about 52268.6321229091. The cubic root of 2732009904 is about 1397.9578907540.

The spelling of 2732009904 in words is "two billion, seven hundred thirty-two million, nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 103 104 108 117 144 156 206 208 216 234 309 312 351 412 432 468 618 624 702 824 927 936 1236 1339 1404 1648 1854 1872 2472 2678 2781 2808 3708 4017 4723 4944 5356 5562 5616 7416 8034 9446 10712 11124 12051 14169 14832 16068 18892 21424 22248 24102 28338 32136 36153 37784 42507 44496 48204 56676 61399 64272 72306 75568 85014 96408 113352 122798 127521 144612 170028 184197 192816 226704 245596 255042 289224 340056 368394 486469 491192 510084 552591 578448 680112 736788 972938 982384 1020168 1105182 1459407 1473576 1657773 1945876 2040336 2210364 2918814 2947152 3315546 3891752 4378221 4420728 5837628 6324097 6631092 7783504 8756442 8841456 11675256 12648194 13134663 13262184 17512884 18972291 23350512 25296388 26269326 26524368 35025768 37944582 50592776 52538652 56916873 70051536 75889164 101185552 105077304 113833746 151778328 170750619 210154608 227667492 303556656 341501238 455334984 683002476 910669968 1366004952 2732009904