Search a number
-
+
246494144 = 26131931503
BaseRepresentation
bin11101011000100…
…11001111000000
3122011211012101202
432230103033000
51001100303034
640243120332
76052110551
oct1654231700
9564735352
10246494144
11117159776
126a6730a8
133c0b5a30
1424a46328
151699047e
hexeb133c0

246494144 has 112 divisors (see below), whose sum is σ = 573511680. Its totient is φ = 104094720.

The previous prime is 246494119. The next prime is 246494159. The reversal of 246494144 is 441494642.

It is a Smith number, since the sum of its digits (38) 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 (38).

It is a junction number, because it is equal to n+sod(n) for n = 246494098 and 246494107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489797 + ... + 490299.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2246494144 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 246494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

246494144 is an abundant number, since it is smaller than the sum of its proper divisors (327017536).

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

246494144 is a wasteful number, since it uses less digits than its factorization.

246494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 246494144 is about 15700.1319739676. The cubic root of 246494144 is about 627.0019170917.

The spelling of 246494144 in words is "two hundred forty-six million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 208 247 248 304 403 416 494 496 503 589 608 806 832 988 992 1006 1178 1216 1612 1976 1984 2012 2356 3224 3952 4024 4712 6448 6539 7657 7904 8048 9424 9557 12896 13078 15314 15593 15808 16096 18848 19114 25792 26156 30628 31186 32192 37696 38228 52312 61256 62372 76456 104624 122512 124241 124744 152912 202709 209248 245024 248482 249488 296267 305824 405418 418496 490048 496964 498976 592534 611648 810836 993928 997952 1185068 1621672 1987856 2370136 3243344 3851471 3975712 4740272 6486688 7702942 7951424 9480544 12973376 15405884 18961088 30811768 61623536 123247072 246494144