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538000352 = 25194767281
BaseRepresentation
bin100000000100010…
…011101111100000
31101111100020201222
4200010103233200
52100212002402
6125215114212
716221633101
oct4004235740
91344306658
10538000352
1125676169a
12130212968
13875cb706
14516483a8
15323727a2
hex20113be0

538000352 has 96 divisors (see below), whose sum is σ = 1159764480. Its totient is φ = 244823040.

The previous prime is 538000339. The next prime is 538000357. The reversal of 538000352 is 253000835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538000357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914452 + ... + 1914732.

It is an arithmetic number, because the mean of its divisors is an integer number (12080880).

Almost surely, 2538000352 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 538000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579882240).

538000352 is an abundant number, since it is smaller than the sum of its proper divisors (621764128).

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

538000352 is a wasteful number, since it uses less digits than its factorization.

538000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 538000352 is about 23194.8345973840. The cubic root of 538000352 is about 813.3188787780.

The spelling of 538000352 in words is "five hundred thirty-eight million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 47 67 76 94 134 152 188 268 281 304 376 536 562 608 752 893 1072 1124 1273 1504 1786 2144 2248 2546 3149 3572 4496 5092 5339 6298 7144 8992 10184 10678 12596 13207 14288 18827 20368 21356 25192 26414 28576 37654 40736 42712 50384 52828 59831 75308 85424 100768 105656 119662 150616 170848 211312 239324 250933 301232 357713 422624 478648 501866 602464 715426 884869 957296 1003732 1430852 1769738 1914592 2007464 2861704 3539476 4014928 5723408 7078952 8029856 11446816 14157904 16812511 28315808 33625022 67250044 134500088 269000176 538000352