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48761344 = 29131727
BaseRepresentation
bin1011101000000…
…0101000000000
310101202022222201
42322000220000
544440330334
64501042544
71131315232
oct272005000
9111668881
1048761344
1125585135
12143b6454
13a143688
146694252
154432c14
hex2e80a00

48761344 has 40 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 24161280.

The previous prime is 48761329. The next prime is 48761351. The reversal of 48761344 is 44316784.

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 3 ways as a sum of consecutive naturals, for example, 66709 + ... + 67435.

Almost surely, 248761344 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 48761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

48761344 is an abundant number, since it is smaller than the sum of its proper divisors (49544864).

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

48761344 is an equidigital number, since it uses as much as digits as its factorization.

48761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 48761344 is about 6982.9323353445. The cubic root of 48761344 is about 365.3355118535.

The spelling of 48761344 in words is "forty-eight million, seven hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 727 1048 1454 2096 2908 4192 5816 8384 11632 16768 23264 33536 46528 67072 93056 95237 186112 190474 372224 380948 761896 1523792 3047584 6095168 12190336 24380672 48761344