[go: up one dir, main page]

Search a number
-
+
46666840 = 23511671583
BaseRepresentation
bin1011001000000…
…1010001011000
310020210220212111
42302001101120
543421314330
64344122104
71104442633
oct262012130
9106726774
1046666840
1124384540
1213766334
13988c21c
1462aac1a
15416c32a
hex2c81458

46666840 has 64 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 16705920.

The previous prime is 46666813. The next prime is 46666849. The reversal of 46666840 is 4866664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46666793 and 46666802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46666849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28689 + ... + 30271.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 246666840 is an apocalyptic number.

46666840 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 46666840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

46666840 is an abundant number, since it is smaller than the sum of its proper divisors (69662120).

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

46666840 is a wasteful number, since it uses less digits than its factorization.

46666840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 46666840 is about 6831.3131973289. The cubic root of 46666840 is about 360.0278784995.

The spelling of 46666840 in words is "forty-six million, six hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 1583 2680 2948 3166 3685 5896 6332 7370 7915 12664 14740 15830 17413 29480 31660 34826 63320 69652 87065 106061 139304 174130 212122 348260 424244 530305 696520 848488 1060610 1166671 2121220 2333342 4242440 4666684 5833355 9333368 11666710 23333420 46666840