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542312430 = 2351153101307
BaseRepresentation
bin100000010100110…
…000011111101110
31101210110022210120
4200110300133232
52102312444210
6125451345410
716303402542
oct4024603756
91353408716
10542312430
112591373a0
12131752266
138847b33a
145204ba22
1532925270
hex205307ee

542312430 has 128 divisors (see below), whose sum is σ = 1465744896. Its totient is φ = 127296000.

The previous prime is 542312429. The next prime is 542312447. The reversal of 542312430 is 34213245.

It is a self number, because there is not a number n which added to its sum of digits gives 542312430.

It is a congruent number.

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, 1766337 + ... + 1766643.

It is an arithmetic number, because the mean of its divisors is an integer number (11451132).

Almost surely, 2542312430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732872448).

542312430 is an abundant number, since it is smaller than the sum of its proper divisors (923432466).

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

542312430 is a wasteful number, since it uses less digits than its factorization.

542312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482.

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

The square root of 542312430 is about 23287.6024957487. The cubic root of 542312430 is about 815.4860187143.

Adding to 542312430 its reverse (34213245), we get a palindrome (576525675).

The spelling of 542312430 in words is "five hundred forty-two million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 101 106 110 159 165 202 265 303 307 318 330 505 530 583 606 614 795 921 1010 1111 1166 1515 1535 1590 1749 1842 2222 2915 3030 3070 3333 3377 3498 4605 5353 5555 5830 6666 6754 8745 9210 10131 10706 11110 16059 16271 16665 16885 17490 20262 26765 31007 32118 32542 33330 33770 48813 50655 53530 58883 62014 80295 81355 93021 97626 101310 117766 155035 160590 162710 176649 178981 186042 244065 294415 310070 341077 353298 357962 465105 488130 536943 588830 682154 883245 894905 930210 1023231 1073886 1643371 1705385 1766490 1789810 2046462 2684715 3286742 3410770 4930113 5116155 5369430 8216855 9860226 10232310 16433710 18077081 24650565 36154162 49301130 54231243 90385405 108462486 180770810 271156215 542312430