Search a number
-
+
46664424 = 23342331101
BaseRepresentation
bin1011001000000…
…0101011101000
310020210210120000
42302000223220
543421230144
64344103000
71104432612
oct262005350
9106723500
1046664424
1124382744
1213764a60
13988b0b1
1462a9db2
15416b769
hex2c80ae8

46664424 has 160 divisors (see below), whose sum is σ = 142179840. Its totient is φ = 14256000.

The previous prime is 46664413. The next prime is 46664477. The reversal of 46664424 is 42446664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 461974 + ... + 462074.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 246664424 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 46664424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089920).

46664424 is an abundant number, since it is smaller than the sum of its proper divisors (95515416).

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

46664424 is a wasteful number, since it uses less digits than its factorization.

46664424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 46664424 is about 6831.1363622753. The cubic root of 46664424 is about 360.0216653628.

The spelling of 46664424 in words is "forty-six million, six hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 81 92 93 101 108 124 138 162 184 186 202 207 216 248 276 279 303 324 372 404 414 552 558 606 621 648 713 744 808 828 837 909 1116 1212 1242 1426 1656 1674 1818 1863 2139 2232 2323 2424 2484 2511 2727 2852 3131 3348 3636 3726 4278 4646 4968 5022 5454 5704 6262 6417 6696 6969 7272 7452 8181 8556 9292 9393 10044 10908 12524 12834 13938 14904 16362 17112 18584 18786 19251 20088 20907 21816 25048 25668 27876 28179 32724 37572 38502 41814 51336 55752 56358 57753 62721 65448 72013 75144 77004 83628 84537 112716 115506 125442 144026 154008 167256 169074 188163 216039 225432 231012 250884 253611 288052 338148 376326 432078 462024 501768 507222 576104 648117 676296 752652 864156 1014444 1296234 1505304 1728312 1944351 2028888 2592468 3888702 5184936 5833053 7777404 11666106 15554808 23332212 46664424