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1242791424 = 293571427
BaseRepresentation
bin100101000010011…
…0111111000000000
310012121112100100000
41022010313320000
510021123311144
6323153200000
742540360420
oct11204677000
93177470300
101242791424
11588583656
122a8260000
1316a627754
14bb0ac480
157418e769
hex4a137e00

1242791424 has 240 divisors, whose sum is σ = 4253977728. Its totient is φ = 354834432.

The previous prime is 1242791419. The next prime is 1242791447. The reversal of 1242791424 is 4241972421.

It is a happy number.

1242791424 is a `hidden beast` number, since 124 + 27 + 91 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870199 + ... + 871625.

Almost surely, 21242791424 is an apocalyptic number.

1242791424 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 1242791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126988864).

1242791424 is an abundant number, since it is smaller than the sum of its proper divisors (3011186304).

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

1242791424 is an frugal number, since it uses more digits than its factorization.

1242791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1439 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1242791424 is about 35253.2469993900. The cubic root of 1242791424 is about 1075.1426308676.

The spelling of 1242791424 in words is "one billion, two hundred forty-two million, seven hundred ninety-one thousand, four hundred twenty-four".