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46742664 = 23329239281
BaseRepresentation
bin1011001001001…
…1110010001000
310020221202212210
42302103302020
543431231124
64345505120
71105206663
oct262236210
9106852783
1046742664
1124426501
12137a21a0
1398b78a7
1462ca6da
154184a29
hex2c93c88

46742664 has 64 divisors (see below), whose sum is σ = 121824000. Its totient is φ = 14927360.

The previous prime is 46742659. The next prime is 46742671. The reversal of 46742664 is 46624764.

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 15 ways as a sum of consecutive naturals, for example, 166204 + ... + 166484.

It is an arithmetic number, because the mean of its divisors is an integer number (1903500).

Almost surely, 246742664 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 46742664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60912000).

46742664 is an abundant number, since it is smaller than the sum of its proper divisors (75081336).

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

46742664 is a wasteful number, since it uses less digits than its factorization.

46742664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 46742664 is about 6836.8606830913. The cubic root of 46742664 is about 360.2227633630. Note that the first 3 decimals are identical.

The spelling of 46742664 in words is "forty-six million, seven hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 239 281 348 478 562 696 717 843 956 1124 1434 1686 1912 2248 2868 3372 5736 6744 6931 8149 13862 16298 20793 24447 27724 32596 41586 48894 55448 65192 67159 83172 97788 134318 166344 195576 201477 268636 402954 537272 805908 1611816 1947611 3895222 5842833 7790444 11685666 15580888 23371332 46742664