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48804192 = 2532971747
BaseRepresentation
bin1011101000101…
…1000101100000
310101211111202200
42322023011200
544443213232
64502013200
71131554163
oct272130540
9111744680
1048804192
1125604348
1214417200
13a15a028
1466a5ada
15444077c
hex2e8b160

48804192 has 72 divisors (see below), whose sum is σ = 140297976. Its totient is φ = 16091136.

The previous prime is 48804191. The next prime is 48804211. The reversal of 48804192 is 29140884.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48804191) 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, 27063 + ... + 28809.

It is an arithmetic number, because the mean of its divisors is an integer number (1948583).

Almost surely, 248804192 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 48804192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70148988).

48804192 is an abundant number, since it is smaller than the sum of its proper divisors (91493784).

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

48804192 is a wasteful number, since it uses less digits than its factorization.

48804192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48804192 is about 6985.9997137131. Note that the first 3 decimals coincide. The cubic root of 48804192 is about 365.4424908098.

The spelling of 48804192 in words is "forty-eight million, eight hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 1747 2328 3104 3492 3494 4656 5241 6984 6988 9312 10482 13968 13976 15723 20964 27936 27952 31446 41928 55904 62892 83856 125784 167712 169459 251568 338918 503136 508377 677836 1016754 1355672 1525131 2033508 2711344 3050262 4067016 5422688 6100524 8134032 12201048 16268064 24402096 48804192