Search a number
-
+
5277614080 = 21758053
BaseRepresentation
bin1001110101001001…
…00000000000000000
3111121210202120111011
410322210200000000
541302032122310
62231405330304
7244532656654
oct47244400000
914553676434
105277614080
112269091632
121033566994
1366151c28b
14380cc8a64
1520d4e278a
hex13a920000

5277614080 has 72 divisors (see below), whose sum is σ = 12667798332. Its totient is φ = 2110783488.

The previous prime is 5277614057. The next prime is 5277614093. The reversal of 5277614080 is 804167725.

It can be written as a sum of positive squares in 2 ways, for example, as 5248712704 + 28901376 = 72448^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 651334 + ... + 659386.

Almost surely, 25277614080 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 5277614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333899166).

5277614080 is an abundant number, since it is smaller than the sum of its proper divisors (7390184252).

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

5277614080 is an frugal number, since it uses more digits than its factorization.

5277614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 5277614080 is about 72647.1890715670. The cubic root of 5277614080 is about 1741.0552105645.

The spelling of 5277614080 in words is "five billion, two hundred seventy-seven million, six hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8053 8192 10240 16106 16384 20480 32212 32768 40265 40960 64424 65536 80530 81920 128848 131072 161060 163840 257696 322120 327680 515392 644240 655360 1030784 1288480 2061568 2576960 4123136 5153920 8246272 10307840 16492544 20615680 32985088 41231360 65970176 82462720 131940352 164925440 263880704 329850880 527761408 659701760 1055522816 1319403520 2638807040 5277614080