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542466144 = 253211171233
BaseRepresentation
bin100000010101010…
…110000001100000
31101210202010122200
4200111112001200
52102332404034
6125454533200
716304612643
oct4025260140
91353663580
10542466144
11259231930
12131807200
13885032ac
145208ba5a
1532955a99
hex20556060

542466144 has 72 divisors (see below), whose sum is σ = 1682887752. Its totient is φ = 164382720.

The previous prime is 542466143. The next prime is 542466191. The reversal of 542466144 is 441664245.

542466144 is a `hidden beast` number, since 54 + 2 + 466 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 542466099 and 542466108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542466143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82449 + ... + 88784.

It is an arithmetic number, because the mean of its divisors is an integer number (23373441).

Almost surely, 2542466144 is an apocalyptic number.

It is an amenable number.

542466144 is an abundant number, since it is smaller than the sum of its proper divisors (1140421608).

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

542466144 is a wasteful number, since it uses less digits than its factorization.

542466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171260 (or 171249 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 542466144 is about 23290.9026016597. The cubic root of 542466144 is about 815.5630590386.

The spelling of 542466144 in words is "five hundred forty-two million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 171233 342466 513699 684932 1027398 1369864 1541097 1883563 2054796 2739728 3082194 3767126 4109592 5479456 5650689 6164388 7534252 8219184 11301378 12328776 15068504 16438368 16952067 22602756 24657552 30137008 33904134 45205512 49315104 60274016 67808268 90411024 135616536 180822048 271233072 542466144