Search a number
-
+
3775087296 = 26342925111
BaseRepresentation
bin1110000100000011…
…0100001011000000
3100202002111022020000
43201000310023000
530212410243141
61422333120000
7162356466261
oct34100641300
910662438200
103775087296
111667a35a62
12894329000
13482153b86
1427b528968
151716495b6
hexe10342c0

3775087296 has 140 divisors (see below), whose sum is σ = 11576883120. Its totient is φ = 1214922240.

The previous prime is 3775087289. The next prime is 3775087307. The reversal of 3775087296 is 6927805773.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137781 + ... + 162891.

Almost surely, 23775087296 is an apocalyptic number.

3775087296 is a gapful number since it is divisible by the number (36) 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 3775087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788441560).

3775087296 is an abundant number, since it is smaller than the sum of its proper divisors (7801795824).

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

3775087296 is a wasteful number, since it uses less digits than its factorization.

3775087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25164 (or 25145 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 3775087296 is about 61441.7390378886. The cubic root of 3775087296 is about 1557.0730917830.

The spelling of 3775087296 in words is "three billion, seven hundred seventy-five million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 25111 37584 50112 50222 75168 75333 100444 150336 150666 200888 225999 301332 401776 451998 602664 677997 728219 803552 903996 1205328 1355994 1456438 1607104 1807992 2033991 2184657 2410656 2711988 2912876 3615984 4067982 4369314 4821312 5423976 5825752 6553971 7231968 8135964 8738628 10847952 11651504 13107942 14463936 16271928 17477256 19661913 21695904 23303008 26215884 32543856 34954512 39323826 43391808 46606016 52431768 58985739 65087712 69909024 78647652 104863536 117971478 130175424 139818048 157295304 209727072 235942956 314590608 419454144 471885912 629181216 943771824 1258362432 1887543648 3775087296