Search a number
-
+
2707424928 = 2532133123327
BaseRepresentation
bin1010000101100000…
…0000011010100000
320222200111102210100
42201120000122200
521021100044203
61124353302400
7124043506065
oct24130003240
96880442710
102707424928
11116a2a846a
12636864a00
13341bb61b0
141b9806c6c
1510ca4eea3
hexa16006a0

2707424928 has 144 divisors (see below), whose sum is σ = 8559323136. Its totient is φ = 806146560.

The previous prime is 2707424861. The next prime is 2707424963. The reversal of 2707424928 is 8294247072.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104401 + ... + 127727.

It is an arithmetic number, because the mean of its divisors is an integer number (59439744).

Almost surely, 22707424928 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 2707424928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279661568).

2707424928 is an abundant number, since it is smaller than the sum of its proper divisors (5851898208).

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

2707424928 is a wasteful number, since it uses less digits than its factorization.

2707424928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23387 (or 23376 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2707424928 is about 52032.9215785545. The cubic root of 2707424928 is about 1393.7519063753.

The spelling of 2707424928 in words is "two billion, seven hundred seven million, four hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 23327 29016 38688 46654 58032 69981 93308 116064 139962 186616 209943 279924 303251 373232 419886 559848 606502 723137 746464 839772 909753 1119696 1213004 1446274 1679544 1819506 2169411 2239392 2426008 2729259 2892548 3359088 3639012 4338822 4852016 5458518 5785096 6508233 6718176 7278024 8677644 9400781 9704032 10917036 11570192 13016466 14556048 17355288 18801562 21834072 23140384 26032932 28202343 29112096 34710576 37603124 43668144 52065864 56404686 69421152 75206248 84607029 87336288 104131728 112809372 150412496 169214058 208263456 225618744 300824992 338428116 451237488 676856232 902474976 1353712464 2707424928