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542122932 = 22313320563
BaseRepresentation
bin100000010100000…
…010001110110100
31101210002200212010
4200110002032310
52102240413212
6125443324220
716301653221
oct4024021664
91353080763
10542122932
11259017a8a
12131680670
1388413000
1451ddc948
15328d903c
hex205023b4

542122932 has 48 divisors (see below), whose sum is σ = 1370384960. Its totient is φ = 166798944.

The previous prime is 542122913. The next prime is 542122943. The reversal of 542122932 is 239221245.

It is a self number, because there is not a number n which added to its sum of digits gives 542122932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16083 + ... + 36645.

Almost surely, 2542122932 is an apocalyptic number.

542122932 is a gapful number since it is divisible by the number (52) 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 542122932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685192480).

542122932 is an abundant number, since it is smaller than the sum of its proper divisors (828262028).

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

542122932 is a wasteful number, since it uses less digits than its factorization.

542122932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20609 (or 20581 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 542122932 is about 23283.5334947254. The cubic root of 542122932 is about 815.3910236747.

The spelling of 542122932 in words is "five hundred forty-two million, one hundred twenty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2197 4394 6591 8788 13182 20563 26364 41126 61689 82252 123378 246756 267319 534638 801957 1069276 1603914 3207828 3475147 6950294 10425441 13900588 20850882 41701764 45176911 90353822 135530733 180707644 271061466 542122932