Search a number
-
+
46601040 = 2435281691
BaseRepresentation
bin1011000111000…
…1001101010000
310020200120121110
42301301031100
543412213130
64342453320
71104050043
oct261611520
9106616543
1046601040
112433a062
1213734240
1398682a5
146290c5a
154157ab0
hex2c71350

46601040 has 80 divisors (see below), whose sum is σ = 145187136. Its totient is φ = 12364800.

The previous prime is 46601021. The next prime is 46601041. The reversal of 46601040 is 4010664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 46600998 and 46601016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46601041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67095 + ... + 67785.

Almost surely, 246601040 is an apocalyptic number.

46601040 is a gapful number since it is divisible by the number (40) 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 46601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72593568).

46601040 is an abundant number, since it is smaller than the sum of its proper divisors (98586096).

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

46601040 is a wasteful number, since it uses less digits than its factorization.

46601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46601040 is about 6826.4954405610. The cubic root of 46601040 is about 359.8585864331.

The spelling of 46601040 in words is "forty-six million, six hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 691 843 1124 1382 1405 1686 2073 2248 2764 2810 3372 3455 4146 4215 4496 5528 5620 6744 6910 8292 8430 10365 11056 11240 13488 13820 16584 16860 20730 22480 27640 33168 33720 41460 55280 67440 82920 165840 194171 388342 582513 776684 970855 1165026 1553368 1941710 2330052 2912565 3106736 3883420 4660104 5825130 7766840 9320208 11650260 15533680 23300520 46601040