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48814584 = 233721331103
BaseRepresentation
bin1011101000110…
…1100111111000
310101212001000120
42322031213320
544444031314
64502133240
71131626400
oct272154770
9111761016
1048814584
1125611135
1214421220
13a161990
1466a9800
1544438a9
hex2e8d9f8

48814584 has 192 divisors, whose sum is σ = 159344640. Its totient is φ = 12337920.

The previous prime is 48814567. The next prime is 48814603. The reversal of 48814584 is 48541884.

It is a super-5 number, since 5×488145845 (a number of 40 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473877 + ... + 473979.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 248814584 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 48814584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

48814584 is an abundant number, since it is smaller than the sum of its proper divisors (110530056).

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

48814584 is a wasteful number, since it uses less digits than its factorization.

48814584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 48814584 is about 6986.7434474153. The cubic root of 48814584 is about 365.4684271669.

The spelling of 48814584 in words is "forty-eight million, eight hundred fourteen thousand, five hundred eighty-four".