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542002272 = 25374318757
BaseRepresentation
bin100000010011100…
…100110001100000
31101202212120100020
4200103210301200
52102223033042
6125440553440
716300641360
oct4023446140
91352776306
10542002272
11258a45369
12131622880
13883a0106
1451daa9a0
15328b33ec
hex204e4c60

542002272 has 96 divisors (see below), whose sum is σ = 1663909632. Its totient is φ = 151248384.

The previous prime is 542002249. The next prime is 542002289. The reversal of 542002272 is 272200245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19518 + ... + 38274.

It is an arithmetic number, because the mean of its divisors is an integer number (17332392).

Almost surely, 2542002272 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 542002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831954816).

542002272 is an abundant number, since it is smaller than the sum of its proper divisors (1121907360).

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

542002272 is a wasteful number, since it uses less digits than its factorization.

542002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820 (or 18812 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 542002272 is about 23280.9422489727. The cubic root of 542002272 is about 815.3305254769.

The spelling of 542002272 in words is "five hundred forty-two million, two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 18757 28896 37514 56271 75028 112542 131299 150056 225084 262598 300112 393897 450168 525196 600224 787794 806551 900336 1050392 1575588 1613102 1800672 2100784 2419653 3151176 3226204 4201568 4839306 5645857 6302352 6452408 9678612 11291714 12604704 12904816 16937571 19357224 22583428 25809632 33875142 38714448 45166856 67750284 77428896 90333712 135500568 180667424 271001136 542002272