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541252992 = 2737201359
BaseRepresentation
bin100000010000101…
…101110110000000
31101201110111112010
4200100231312000
52102030043432
6125412532520
716261401030
oct4020556600
91351414463
10541252992
11258583425
12131321140
138819a057
1451c538c0
15327b63cc
hex2042dd80

541252992 has 64 divisors (see below), whose sum is σ = 1643097600. Its totient is φ = 154642944.

The previous prime is 541252903. The next prime is 541252993. The reversal of 541252992 is 299252145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 541252992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541252993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97992 + ... + 103367.

It is an arithmetic number, because the mean of its divisors is an integer number (25673400).

Almost surely, 2541252992 is an apocalyptic number.

It is an amenable number.

541252992 is an abundant number, since it is smaller than the sum of its proper divisors (1101844608).

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

541252992 is a wasteful number, since it uses less digits than its factorization.

541252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201383 (or 201371 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 541252992 is about 23264.8445513827. The cubic root of 541252992 is about 814.9546398532.

The spelling of 541252992 in words is "five hundred forty-one million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 201359 402718 604077 805436 1208154 1409513 1610872 2416308 2819026 3221744 4228539 4832616 5638052 6443488 8457078 9665232 11276104 12886976 16914156 19330464 22552208 25773952 33828312 38660928 45104416 67656624 77321856 90208832 135313248 180417664 270626496 541252992