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48563028 = 22322389659
BaseRepresentation
bin1011100101000…
…0001101010100
310101101020221200
42321100031110
544413004103
64452512500
71126531113
oct271201524
9111336850
1048563028
112545a138
121431b730
13a0a4327
146641c7a
1543e40a3
hex2e50354

48563028 has 72 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 15286656.

The previous prime is 48563027. The next prime is 48563029. The reversal of 48563028 is 82036584.

It is an interprime number because it is at equal distance from previous prime (48563027) and next prime (48563029).

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

It is a junction number, because it is equal to n+sod(n) for n = 48562983 and 48563001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48563027) 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 23 ways as a sum of consecutive naturals, for example, 73363 + ... + 74021.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 248563028 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 48563028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

48563028 is an abundant number, since it is smaller than the sum of its proper divisors (81166572).

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

48563028 is a wasteful number, since it uses less digits than its factorization.

48563028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48563028 is about 6968.7178160692. The cubic root of 48563028 is about 364.8395566812.

The spelling of 48563028 in words is "forty-eight million, five hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 267 276 356 414 534 659 801 828 1068 1318 1602 1977 2047 2636 3204 3954 4094 5931 6141 7908 8188 11862 12282 15157 18423 23724 24564 30314 36846 45471 58651 60628 73692 90942 117302 136413 175953 181884 234604 272826 351906 527859 545652 703812 1055718 1348973 2111436 2697946 4046919 5395892 8093838 12140757 16187676 24281514 48563028