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124082048 = 2717127449
BaseRepresentation
bin1110110010101…
…01011110000000
322122111000120102
413121111132000
5223231111143
620151301532
73034452146
oct731253600
9278430512
10124082048
116404a752
123567a8a8
131c925c3c
141269d596
15ad600b8
hex7655780

124082048 has 64 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 57802752.

The previous prime is 124082029. The next prime is 124082069. The reversal of 124082048 is 840280421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 124082048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276128 + ... + 276576.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2124082048 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 124082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

124082048 is an abundant number, since it is smaller than the sum of its proper divisors (140301952).

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

124082048 is a wasteful number, since it uses less digits than its factorization.

124082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 124082048 is about 11139.2121804013. The cubic root of 124082048 is about 498.7730556780.

The spelling of 124082048 in words is "one hundred twenty-four million, eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 272 449 508 544 898 1016 1088 1796 2032 2159 2176 3592 4064 4318 7184 7633 8128 8636 14368 15266 16256 17272 28736 30532 34544 57023 57472 61064 69088 114046 122128 138176 228092 244256 276352 456184 488512 912368 969391 977024 1824736 1938782 3649472 3877564 7298944 7755128 15510256 31020512 62041024 124082048