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46644664 = 23115373137
BaseRepresentation
bin1011000111101…
…1110110111000
310020202210110011
42301323312320
543420112124
64343431304
71104321163
oct261736670
9106683404
1046644664
1124369910
1213755534
1398820c1
1462a2ada
154165994
hex2c7bdb8

46644664 has 64 divisors (see below), whose sum is σ = 99260640. Its totient is φ = 20367360.

The previous prime is 46644649. The next prime is 46644671.

It is a happy number.

46644664 is nontrivially palindromic in base 10.

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, 340404 + ... + 340540.

Almost surely, 246644664 is an apocalyptic number.

46644664 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 46644664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49630320).

46644664 is an abundant number, since it is smaller than the sum of its proper divisors (52615976).

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

46644664 is a wasteful number, since it uses less digits than its factorization.

46644664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 46644664 is about 6829.6898904709. The cubic root of 46644664 is about 359.9708412597.

The spelling of 46644664 in words is "forty-six million, six hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 73 88 106 137 146 212 274 292 424 548 583 584 803 1096 1166 1507 1606 2332 3014 3212 3869 4664 6028 6424 7261 7738 10001 12056 14522 15476 20002 29044 30952 40004 42559 58088 79871 80008 85118 110011 159742 170236 220022 319484 340472 440044 530053 638968 880088 1060106 2120212 4240424 5830583 11661166 23322332 46644664