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46055064 = 23311434057
BaseRepresentation
bin1010111110101…
…1111010011000
310012122211200010
42233223322120
543242230224
64323041520
71066314216
oct257537230
9105584603
1046055064
1123aa6940
12135102a0
139706923
14618bcb6
15409ae29
hex2bebe98

46055064 has 64 divisors (see below), whose sum is σ = 128557440. Its totient is φ = 13628160.

The previous prime is 46055059. The next prime is 46055081.

46055064 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 9324 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (2008710).

Almost surely, 246055064 is an apocalyptic number.

46055064 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 46055064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64278720).

46055064 is an abundant number, since it is smaller than the sum of its proper divisors (82502376).

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

46055064 is a wasteful number, since it uses less digits than its factorization.

46055064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 46055064 is about 6786.3881409775. The cubic root of 46055064 is about 358.4476988958.

It can be divided in two parts, 4605 and 5064, that added together give a palindrome (9669).

The spelling of 46055064 in words is "forty-six million, fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 4057 5676 8114 11352 12171 16228 24342 32456 44627 48684 89254 97368 133881 174451 178508 267762 348902 357016 523353 535524 697804 1046706 1071048 1395608 1918961 2093412 3837922 4186824 5756883 7675844 11513766 15351688 23027532 46055064