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542029900 = 2252107179283
BaseRepresentation
bin100000010011101…
…011100001001100
31101202220222020111
4200103223201030
52102224424100
6125441325404
716301115046
oct4023534114
91352828214
10542029900
11258a640a5
12131636864
13883ac869
1451db6a96
15328bb6ba
hex204eb84c

542029900 has 72 divisors (see below), whose sum is σ = 1198048320. Its totient is φ = 212831040.

The previous prime is 542029883. The next prime is 542029907. The reversal of 542029900 is 9920245.

It is not an unprimeable number, because it can be changed into a prime (542029907) 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, 1915159 + ... + 1915441.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2542029900 is an apocalyptic number.

542029900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599024160).

542029900 is an abundant number, since it is smaller than the sum of its proper divisors (656018420).

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

542029900 is a wasteful number, since it uses less digits than its factorization.

542029900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 542029900 is about 23281.5356022750. The cubic root of 542029900 is about 815.3443787823.

The spelling of 542029900 in words is "five hundred forty-two million, twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 179 214 283 358 428 535 566 716 895 1070 1132 1415 1790 2140 2675 2830 3580 4475 5350 5660 7075 8950 10700 14150 17900 19153 28300 30281 38306 50657 60562 76612 95765 101314 121124 151405 191530 202628 253285 302810 383060 478825 506570 605620 757025 957650 1013140 1266425 1514050 1915300 2532850 3028100 5065700 5420299 10840598 21681196 27101495 54202990 108405980 135507475 271014950 542029900