[go: up one dir, main page]

Search a number
-
+
46244264 = 2311343101
BaseRepresentation
bin1011000001101…
…0000110101000
310020000110012112
42300122012220
543314304024
64331101452
71101032633
oct260320650
9106013175
1046244264
1124116000
12135a1888
139771a91
1461dac1a
1540d700e
hex2c1a1a8

46244264 has 64 divisors (see below), whose sum is σ = 98556480. Its totient is φ = 20328000.

The previous prime is 46244251. The next prime is 46244279.

46244264 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 46244264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457814 + ... + 457914.

It is an arithmetic number, because the mean of its divisors is an integer number (1539945).

Almost surely, 246244264 is an apocalyptic number.

46244264 is a gapful number since it is divisible by the number (44) 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 46244264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278240).

46244264 is an abundant number, since it is smaller than the sum of its proper divisors (52312216).

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

46244264 is a wasteful number, since it uses less digits than its factorization.

46244264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 46244264 is about 6800.3135221841. The cubic root of 46244264 is about 358.9378776905.

It can be divided in two parts, 4624 and 4264, that added together give a palindrome (8888).

The spelling of 46244264 in words is "forty-six million, two hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 101 121 172 202 242 344 404 473 484 808 946 968 1111 1331 1892 2222 2662 3784 4343 4444 5203 5324 8686 8888 10406 10648 12221 17372 20812 24442 34744 41624 47773 48884 57233 95546 97768 114466 134431 191092 228932 268862 382184 457864 525503 537724 1051006 1075448 2102012 4204024 5780533 11561066 23122132 46244264