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1242428544 = 27347171953
BaseRepresentation
bin100101000001101…
…1111010010000000
310012120211220120000
41022003133102000
510021030203134
6323141320000
742534316440
oct11203372200
93176756500
101242428544
11588355a55
122a8106000
1316a52b526
14bb016120
157411be99
hex4a0df480

1242428544 has 640 divisors, whose sum is σ = 4798569600. Its totient is φ = 310542336.

The previous prime is 1242428531. The next prime is 1242428567. The reversal of 1242428544 is 4458242421.

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 = 1242428499 and 1242428508.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23442022 + ... + 23442074.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 21242428544 is an apocalyptic number.

1242428544 is a gapful number since it is divisible by the number (14) 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 1242428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

1242428544 is an abundant number, since it is smaller than the sum of its proper divisors (3556141056).

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

1242428544 is a wasteful number, since it uses less digits than its factorization.

1242428544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

The square root of 1242428544 is about 35248.0998636806. The cubic root of 1242428544 is about 1075.0379778182.

The spelling of 1242428544 in words is "one billion, two hundred forty-two million, four hundred twenty-eight thousand, five hundred forty-four".