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48377856 = 212331127
BaseRepresentation
bin1011100010001…
…1000000000000
310101000211221110
42320203000000
544341042411
64444523320
71125130212
oct270430000
9111024843
1048377856
1125342aaa
1214250540
13a03ac67
1465d45b2
1543a92a6
hex2e23000

48377856 has 104 divisors (see below), whose sum is σ = 134201344. Its totient is φ = 15482880.

The previous prime is 48377839. The next prime is 48377863. The reversal of 48377856 is 65877384.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380865 + ... + 380991.

Almost surely, 248377856 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 48377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67100672).

48377856 is an abundant number, since it is smaller than the sum of its proper divisors (85823488).

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

48377856 is a wasteful number, since it uses less digits than its factorization.

48377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 48377856 is about 6955.4191821917. The cubic root of 48377856 is about 364.3752520282.

The spelling of 48377856 in words is "forty-eight million, three hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 256 372 381 384 496 508 512 744 762 768 992 1016 1024 1488 1524 1536 1984 2032 2048 2976 3048 3072 3937 3968 4064 4096 5952 6096 6144 7874 7936 8128 11811 11904 12192 12288 15748 15872 16256 23622 23808 24384 31496 31744 32512 47244 47616 48768 62992 63488 65024 94488 95232 97536 125984 126976 130048 188976 190464 195072 251968 260096 377952 380928 390144 503936 520192 755904 780288 1007872 1511808 1560576 2015744 3023616 4031488 6047232 8062976 12094464 16125952 24188928 48377856