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46720896 = 273172421
BaseRepresentation
bin1011001000111…
…0011110000000
310020220200000120
42302032132000
543430032041
64345220240
71105056345
oct262163600
9106820016
1046720896
1124411112
1213791680
1398aaa01
1462c27cc
15417d366
hex2c8e780

46720896 has 96 divisors (see below), whose sum is σ = 132145080. Its totient is φ = 14622720.

The previous prime is 46720873. The next prime is 46720907. The reversal of 46720896 is 69802764.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 110766 + ... + 111186.

Almost surely, 246720896 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 46720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66072540).

46720896 is an abundant number, since it is smaller than the sum of its proper divisors (85424184).

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

46720896 is a wasteful number, since it uses less digits than its factorization.

46720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 46720896 is about 6835.2685389822. The cubic root of 46720896 is about 360.1668362507.

The spelling of 46720896 in words is "forty-six million, seven hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 421 544 578 816 842 867 1088 1156 1263 1632 1684 1734 2176 2312 2526 3264 3368 3468 4624 5052 6528 6736 6936 7157 9248 10104 13472 13872 14314 18496 20208 21471 26944 27744 28628 36992 40416 42942 53888 55488 57256 80832 85884 110976 114512 121669 161664 171768 229024 243338 343536 365007 458048 486676 687072 730014 916096 973352 1374144 1460028 1946704 2748288 2920056 3893408 5840112 7786816 11680224 15573632 23360448 46720896