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427124544 = 263711167173
BaseRepresentation
bin11001011101010…
…110011101000000
31002202201011201120
4121131112131000
51333320441134
6110214432240
713404333030
oct3135263500
91082634646
10427124544
111aa111aa0
12bb062680
136a64a822
1440a258c0
1527770649
hex19756740

427124544 has 224 divisors, whose sum is σ = 1425586176. Its totient is φ = 109639680.

The previous prime is 427124527. The next prime is 427124561. The reversal of 427124544 is 445421724.

It is an interprime number because it is at equal distance from previous prime (427124527) and next prime (427124561).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468842 + ... + 2469014.

It is an arithmetic number, because the mean of its divisors is an integer number (6364224).

Almost surely, 2427124544 is an apocalyptic number.

427124544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712793088).

427124544 is an abundant number, since it is smaller than the sum of its proper divisors (998461632).

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

427124544 is a wasteful number, since it uses less digits than its factorization.

427124544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 427124544 is about 20666.9916533587. The cubic root of 427124544 is about 753.0980262465.

The spelling of 427124544 in words is "four hundred twenty-seven million, one hundred twenty-four thousand, five hundred forty-four".