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49938432 = 2173127
BaseRepresentation
bin1011111010000…
…0000000000000
310110222010122120
42332200000000
5100241012212
64542204240
71144320045
oct276400000
9113863576
1049938432
1126209535
1214883680
13a46638b
1468bd1cc
1545b688c
hex2fa0000

49938432 has 72 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 16515072.

The previous prime is 49938431. The next prime is 49938433. The reversal of 49938432 is 23483994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49938431) and next prime (49938433).

It is not an unprimeable number, because it can be changed into a prime (49938431) by changing a digit.

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, 393153 + ... + 393279.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 249938432 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 49938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

49938432 is an abundant number, since it is smaller than the sum of its proper divisors (84278784).

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

49938432 is an frugal number, since it uses more digits than its factorization.

49938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49938432 is about 7066.7129558232. The cubic root of 49938432 is about 368.2518754551.

The spelling of 49938432 in words is "forty-nine million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 4096 6096 6144 8128 8192 12192 12288 16256 16384 24384 24576 32512 32768 48768 49152 65024 65536 97536 98304 130048 131072 195072 196608 260096 390144 393216 520192 780288 1040384 1560576 2080768 3121152 4161536 6242304 8323072 12484608 16646144 24969216 49938432