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46264064 = 287112347
BaseRepresentation
bin1011000001111…
…0111100000000
310020001110100212
42300132330000
543320422224
64331333252
71101144440
oct260367400
9106043325
1046264064
1124129970
12135b1228
13977aab2
146204120
1540dcd0e
hex2c1ef00

46264064 has 72 divisors (see below), whose sum is σ = 115183488. Its totient is φ = 18017280.

The previous prime is 46264037. The next prime is 46264073. The reversal of 46264064 is 46046264.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 46264064.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18539 + ... + 20885.

Almost surely, 246264064 is an apocalyptic number.

46264064 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 46264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57591744).

46264064 is an abundant number, since it is smaller than the sum of its proper divisors (68919424).

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

46264064 is a wasteful number, since it uses less digits than its factorization.

46264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 46264064 is about 6801.7691816174. The cubic root of 46264064 is about 358.9890981396.

The spelling of 46264064 in words is "forty-six million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2347 2464 2816 4694 4928 9388 9856 16429 18776 19712 25817 32858 37552 51634 65716 75104 103268 131432 150208 180719 206536 262864 300416 361438 413072 525728 600832 722876 826144 1051456 1445752 1652288 2102912 2891504 3304576 4205824 5783008 6609152 11566016 23132032 46264064