Search a number
-
+
6677152 = 253153127
BaseRepresentation
bin11001011110001010100000
3110120020022221
4121132022200
53202132102
6355040424
7110516626
oct31361240
913506287
106677152
113850709
1222a0114
1314ca2a1
14c5b516
158bd637
hex65e2a0

6677152 has 48 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 3144960.

The previous prime is 6677147. The next prime is 6677171. The reversal of 6677152 is 2517766.

It is a super-2 number, since 2×66771522 = 89168717662208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52513 + ... + 52639.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 26677152 is an apocalyptic number.

6677152 is a gapful number since it is divisible by the number (62) 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 6677152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

6677152 is an abundant number, since it is smaller than the sum of its proper divisors (7257440).

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

6677152 is a wasteful number, since it uses less digits than its factorization.

6677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 6677152 is about 2584.0185757846. The cubic root of 6677152 is about 188.3058248560.

The spelling of 6677152 in words is "six million, six hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 127 212 248 254 424 496 508 848 992 1016 1643 1696 2032 3286 3937 4064 6572 6731 7874 13144 13462 15748 26288 26924 31496 52576 53848 62992 107696 125984 208661 215392 417322 834644 1669288 3338576 6677152