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542412420 = 22351179101103
BaseRepresentation
bin100000010101001…
…000111010000100
31101210122101221220
4200111020322010
52102324144140
6125453440340
716304300214
oct4025107204
91353571856
10542412420
112591a5530
121317a00b0
13884b49c4
1452076244
1532944bd0
hex20548e84

542412420 has 192 divisors, whose sum is σ = 1710858240. Its totient is φ = 127296000.

The previous prime is 542412419. The next prime is 542412439. The reversal of 542412420 is 24214245.

It is a happy number.

It is a super-2 number, since 2×5424124202 = 588422466740512800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5266089 + ... + 5266191.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2542412420 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 542412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

542412420 is an abundant number, since it is smaller than the sum of its proper divisors (1168445820).

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

542412420 is a wasteful number, since it uses less digits than its factorization.

542412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 542412420 is about 23289.7492472547. The cubic root of 542412420 is about 815.5361346202.

Adding to 542412420 its reverse (24214245), we get a palindrome (566626665).

The spelling of 542412420 in words is "five hundred forty-two million, four hundred twelve thousand, four hundred twenty".