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542234464 = 25192633391
BaseRepresentation
bin100000010100011…
…101011101100000
31101210022100211221
4200110131131200
52102303000324
6125445544424
716302626332
oct4024353540
91353270757
10542234464
11259093862
12131715114
13884519c5
145202b452
153290c0e4
hex2051d760

542234464 has 48 divisors (see below), whose sum is σ = 1128314880. Its totient is φ = 255795840.

The previous prime is 542234461. The next prime is 542234477. The reversal of 542234464 is 464432245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542234461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158209 + ... + 161599.

It is an arithmetic number, because the mean of its divisors is an integer number (23506560).

Almost surely, 2542234464 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 542234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564157440).

542234464 is an abundant number, since it is smaller than the sum of its proper divisors (586080416).

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

542234464 is a wasteful number, since it uses less digits than its factorization.

542234464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3675 counting only the distinct ones).

The product of its digits is 92160, while the sum is 34.

The square root of 542234464 is about 23285.9284547557. The cubic root of 542234464 is about 815.4469371649.

The spelling of 542234464 in words is "five hundred forty-two million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 263 304 526 608 1052 2104 3391 4208 4997 6782 8416 9994 13564 19988 27128 39976 54256 64429 79952 108512 128858 159904 257716 515432 891833 1030864 1783666 2061728 3567332 7134664 14269328 16944827 28538656 33889654 67779308 135558616 271117232 542234464