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542038032 = 2432107127277
BaseRepresentation
bin100000010011101…
…101100000010000
31101202221101101200
4200103231200100
52102230204112
6125441431200
716301150544
oct4023554020
91352841350
10542038032
11258a6a218
1213163b500
13883b3483
1451db9a24
15328bdcdc
hex204ed810

542038032 has 120 divisors (see below), whose sum is σ = 1548758016. Its totient is φ = 176940288.

The previous prime is 542038031. The next prime is 542038087. The reversal of 542038032 is 230830245.

It is a junction number, because it is equal to n+sod(n) for n = 542037987 and 542038005.

It is not an unprimeable number, because it can be changed into a prime (542038031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956678 + ... + 1956954.

Almost surely, 2542038032 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 542038032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774379008).

542038032 is an abundant number, since it is smaller than the sum of its proper divisors (1006719984).

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

542038032 is a wasteful number, since it uses less digits than its factorization.

542038032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 542038032 is about 23281.7102464574. The cubic root of 542038032 is about 815.3484562618.

Adding to 542038032 its reverse (230830245), we get a palindrome (772868277).

The spelling of 542038032 in words is "five hundred forty-two million, thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 127 144 214 254 277 321 381 428 508 554 642 762 831 856 963 1016 1108 1143 1284 1524 1662 1712 1926 2032 2216 2286 2493 2568 3048 3324 3852 4432 4572 4986 5136 6096 6648 7704 9144 9972 13296 13589 15408 18288 19944 27178 29639 35179 39888 40767 54356 59278 70358 81534 88917 105537 108712 118556 122301 140716 163068 177834 211074 217424 237112 244602 266751 281432 316611 326136 355668 422148 474224 489204 533502 562864 633222 652272 711336 844296 978408 1067004 1266444 1422672 1688592 1956816 2134008 2532888 3764153 4268016 5065776 7528306 11292459 15056612 22584918 30113224 33877377 45169836 60226448 67754754 90339672 135509508 180679344 271019016 542038032