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542134032 = 243115319373
BaseRepresentation
bin100000010100000…
…100111100010000
31101210010021002020
4200110010330100
52102241242112
6125443451440
716302030456
oct4024047420
91353107066
10542134032
11259025360
12131686b80
138841808b
14520029d6
15328dc48c
hex20504f10

542134032 has 80 divisors (see below), whose sum is σ = 1556739648. Its totient is φ = 161175040.

The previous prime is 542134013. The next prime is 542134037. The reversal of 542134032 is 230431245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 542133993 and 542134011.

It is not an unprimeable number, because it can be changed into a prime (542134037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18298 + ... + 37670.

Almost surely, 2542134032 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 542134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778369824).

542134032 is an abundant number, since it is smaller than the sum of its proper divisors (1014605616).

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

542134032 is a wasteful number, since it uses less digits than its factorization.

542134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 542134032 is about 23283.7718593874. The cubic root of 542134032 is about 815.3965886969.

Adding to 542134032 its reverse (230431245), we get a palindrome (772565277).

The spelling of 542134032 in words is "five hundred forty-two million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 13992 19373 27984 38746 58119 77492 116238 154984 213103 232476 309968 426206 464952 639309 852412 929904 1026769 1278618 1704824 2053538 2557236 3080307 3409648 4107076 5114472 6160614 8214152 10228944 11294459 12321228 16428304 22588918 24642456 33883377 45177836 49284912 67766754 90355672 135533508 180711344 271067016 542134032