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48840084 = 22381861
BaseRepresentation
bin1011101001001…
…1110110010100
310101220100000000
42322103312110
5100000340314
64502451300
71132063626
oct272236624
9111810000
1048840084
1125629307
1214433b30
13a170477
1466b4c16
15444b209
hex2e93d94

48840084 has 54 divisors (see below), whose sum is σ = 128267594. Its totient is φ = 16271280.

The previous prime is 48840079. The next prime is 48840137. The reversal of 48840084 is 48004884.

It can be written as a sum of positive squares in only one way, i.e., 25220484 + 23619600 = 5022^2 + 4860^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25314 + ... + 27174.

Almost surely, 248840084 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 48840084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64133797).

48840084 is an abundant number, since it is smaller than the sum of its proper divisors (79427510).

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

48840084 is an equidigital number, since it uses as much as digits as its factorization.

48840084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48840084 is about 6988.5680936798. The cubic root of 48840084 is about 365.5320544808.

The spelling of 48840084 in words is "forty-eight million, eight hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1861 2187 2916 3722 4374 5583 6561 7444 8748 11166 13122 16749 22332 26244 33498 50247 66996 100494 150741 200988 301482 452223 602964 904446 1356669 1808892 2713338 4070007 5426676 8140014 12210021 16280028 24420042 48840084