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542262450 = 235219318731
BaseRepresentation
bin100000010100100…
…100010010110010
31101210100210020110
4200110210102302
52102304344300
6125450322150
716303104042
oct4024442262
91353323213
10542262450
11259102894
12131729356
1388461672
1452037722
1532915550
hex205244b2

542262450 has 48 divisors (see below), whose sum is σ = 1351850976. Its totient is φ = 143846400.

The previous prime is 542262449. The next prime is 542262473. The reversal of 542262450 is 54262245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19585 + ... + 38315.

It is an arithmetic number, because the mean of its divisors is an integer number (28163562).

Almost surely, 2542262450 is an apocalyptic number.

542262450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542262450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675925488).

542262450 is an abundant number, since it is smaller than the sum of its proper divisors (809588526).

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

542262450 is a wasteful number, since it uses less digits than its factorization.

542262450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18939 (or 18934 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 542262450 is about 23286.5293678556. The cubic root of 542262450 is about 815.4609659703.

The spelling of 542262450 in words is "five hundred forty-two million, two hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 193 386 579 965 1158 1930 2895 4825 5790 9650 14475 18731 28950 37462 56193 93655 112386 187310 280965 468275 561930 936550 1404825 2809650 3615083 7230166 10845249 18075415 21690498 36150830 54226245 90377075 108452490 180754150 271131225 542262450