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46720256 = 281147353
BaseRepresentation
bin1011001000111…
…0010100000000
310020220122010212
42302032110000
543430022011
64345213252
71105054442
oct262162400
9106818125
1046720256
1124410690
1213791228
1398aa62b
1462c2492
15417d08b
hex2c8e500

46720256 has 72 divisors (see below), whose sum is σ = 104194944. Its totient is φ = 20725760.

The previous prime is 46720249. The next prime is 46720273. The reversal of 46720256 is 65202764.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132176 + ... + 132528.

It is an arithmetic number, because the mean of its divisors is an integer number (1447152).

Almost surely, 246720256 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 46720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52097472).

46720256 is an abundant number, since it is smaller than the sum of its proper divisors (57474688).

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

46720256 is a wasteful number, since it uses less digits than its factorization.

46720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 46720256 is about 6835.2217228119. The cubic root of 46720256 is about 360.1651916773.

The spelling of 46720256 in words is "forty-six million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 353 376 517 704 706 752 1034 1408 1412 1504 2068 2816 2824 3008 3883 4136 5648 6016 7766 8272 11296 12032 15532 16544 16591 22592 31064 33088 33182 45184 62128 66176 66364 90368 124256 132352 132728 182501 248512 265456 365002 497024 530912 730004 994048 1061824 1460008 2123648 2920016 4247296 5840032 11680064 23360128 46720256