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542052500 = 22541123857
BaseRepresentation
bin100000010011110…
…001000010010100
31101202222010020112
4200103301002110
52102231140000
6125442022152
716301240663
oct4023610224
91352863215
10542052500
11258a7a080
12131647958
13883b9c32
1451dc0dda
15328c3235
hex204f1094

542052500 has 120 divisors (see below), whose sum is σ = 1350917568. Its totient is φ = 188320000.

The previous prime is 542052493. The next prime is 542052509. The reversal of 542052500 is 5250245.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542052509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 632072 + ... + 632928.

Almost surely, 2542052500 is an apocalyptic number.

542052500 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 542052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675458784).

542052500 is an abundant number, since it is smaller than the sum of its proper divisors (808865068).

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

542052500 is a wasteful number, since it uses less digits than its factorization.

542052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 542052500 is about 23282.0209603892. The cubic root of 542052500 is about 815.3557105846.

The spelling of 542052500 in words is "five hundred forty-two million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 125 220 230 250 253 275 460 500 506 550 575 625 857 1012 1100 1150 1250 1265 1375 1714 2300 2500 2530 2750 2875 3428 4285 5060 5500 5750 6325 6875 8570 9427 11500 12650 13750 14375 17140 18854 19711 21425 25300 27500 28750 31625 37708 39422 42850 47135 57500 63250 78844 85700 94270 98555 107125 126500 158125 188540 197110 214250 216821 235675 316250 394220 428500 433642 471350 492775 535625 632500 867284 942700 985550 1071250 1084105 1178375 1971100 2142500 2168210 2356750 2463875 4336420 4713500 4927750 5420525 5891875 9855500 10841050 11783750 12319375 21682100 23567500 24638750 27102625 49277500 54205250 108410500 135513125 271026250 542052500