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48003933604 = 221122324332
BaseRepresentation
bin101100101101010000…
…011110010110100100
311120220110212111021211
4230231100132112210
51241303001333404
634015214521204
73316403463124
oct545520362644
9146813774254
1048003933604
11193a3a72900
129378506204
1346b0371c53
1424755bac84
1513ae50cb04
hexb2d41e5a4

48003933604 has 81 divisors (see below), whose sum is σ = 96750841089. Its totient is φ = 20823073920.

The previous prime is 48003933577. The next prime is 48003933613. The reversal of 48003933604 is 40633930084.

The square root of 48003933604 is 219098.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5383156900 + 42620776704 = 73370^2 + 206448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110863372 + ... + 110863804.

Almost surely, 248003933604 is an apocalyptic number.

48003933604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

48003933604 is the 219098-th square number.

It is an amenable number.

48003933604 is an abundant number, since it is smaller than the sum of its proper divisors (48746907485).

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

48003933604 is a wasteful number, since it uses less digits than its factorization.

48003933604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 48003933604 in words is "forty-eight billion, three million, nine hundred thirty-three thousand, six hundred four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 433 484 506 529 866 1012 1058 1732 2116 2783 4763 5566 5819 9526 9959 11132 11638 19052 19918 23276 39836 52393 64009 104786 109549 128018 187489 209572 219098 229057 256036 374978 438196 458114 749956 916228 1205039 2062379 2410078 2519627 4124758 4312247 4820156 5039254 8249516 8624494 10078508 17248988 22686169 27715897 45372338 47434717 55431794 90744676 94869434 99181681 110863588 189738868 198363362 396726724 521781887 1043563774 1090998491 2087127548 2181996982 4363993964 12000983401 24001966802 48003933604