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46378368 = 2732127317
BaseRepresentation
bin1011000011101…
…0110110000000
310020021021011100
42300322312000
543333101433
64334014400
71102131621
oct260726600
9106237140
1046378368
11241a7833
1213647400
1397bab2a
146233a48
154111b13
hex2c3ad80

46378368 has 96 divisors (see below), whose sum is σ = 134933760. Its totient is φ = 15289344.

The previous prime is 46378357. The next prime is 46378369. The reversal of 46378368 is 86387364.

46378368 is a `hidden beast` number, since 4 + 637 + 8 + 3 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46378369) by changing a digit.

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, 146146 + ... + 146462.

It is an arithmetic number, because the mean of its divisors is an integer number (1405560).

Almost surely, 246378368 is an apocalyptic number.

46378368 is a gapful number since it is divisible by the number (48) 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 46378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67466880).

46378368 is an abundant number, since it is smaller than the sum of its proper divisors (88555392).

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

46378368 is a wasteful number, since it uses less digits than its factorization.

46378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 46378368 is about 6810.1665177879. The cubic root of 46378368 is about 359.2845048310.

The spelling of 46378368 in words is "forty-six million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 317 381 384 508 576 634 762 951 1016 1143 1152 1268 1524 1902 2032 2286 2536 2853 3048 3804 4064 4572 5072 5706 6096 7608 8128 9144 10144 11412 12192 15216 16256 18288 20288 22824 24384 30432 36576 40259 40576 45648 48768 60864 73152 80518 91296 120777 121728 146304 161036 182592 241554 322072 362331 365184 483108 644144 724662 966216 1288288 1449324 1932432 2576576 2898648 3864864 5153152 5797296 7729728 11594592 15459456 23189184 46378368