Search a number
-
+
6390287556 = 22317192416841
BaseRepresentation
bin1011111001110010…
…00000110011000100
3121111100110020112220
411330321000303010
5101041403200211
62534034012340
7314233355652
oct57471006304
917440406486
106390287556
11278a172694
1212a41170b0
137aabb9653
144489a5dd2
1527602d806
hex17ce40cc4

6390287556 has 96 divisors (see below), whose sum is σ = 16690101120. Its totient is φ = 1891123200.

The previous prime is 6390287549. The next prime is 6390287557. The reversal of 6390287556 is 6557820936.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 6390287499 and 6390287508.

It is not an unprimeable number, because it can be changed into a prime (6390287557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930696 + ... + 937536.

It is an arithmetic number, because the mean of its divisors is an integer number (173855220).

Almost surely, 26390287556 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 6390287556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345050560).

6390287556 is an abundant number, since it is smaller than the sum of its proper divisors (10299813564).

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

6390287556 is a wasteful number, since it uses less digits than its factorization.

6390287556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 6390287556 is about 79939.2741773404. The cubic root of 6390287556 is about 1855.6958668729.

The spelling of 6390287556 in words is "six billion, three hundred ninety million, two hundred eighty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 241 323 482 646 723 964 969 1292 1446 1938 2892 3876 4097 4579 6841 8194 9158 12291 13682 13737 16388 18316 20523 24582 27364 27474 41046 49164 54948 77843 82092 116297 129979 155686 232594 233529 259958 311372 348891 389937 465188 467058 519916 697782 779874 934116 1395564 1559748 1648681 2209643 3297362 4419286 4946043 6594724 6628929 8838572 9892086 13257858 19784172 26515716 28027577 31324939 56055154 62649878 84082731 93974817 112110308 125299756 168165462 187949634 336330924 375899268 532523963 1065047926 1597571889 2130095852 3195143778 6390287556