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48630000 = 243541621
BaseRepresentation
bin1011100110000…
…0100011110000
310101111122211010
42321200203300
544422130000
64454150520
71130230266
oct271404360
9111448733
1048630000
11254a5491
1214352440
13a0c8963
14665c436
154408d50
hex2e608f0

48630000 has 100 divisors (see below), whose sum is σ = 157080968. Its totient is φ = 12960000.

The previous prime is 48629963. The next prime is 48630031. The reversal of 48630000 is 3684.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 29190 + ... + 30810.

Almost surely, 248630000 is an apocalyptic number.

48630000 is a gapful number since it is divisible by the number (40) 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 48630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78540484).

48630000 is an abundant number, since it is smaller than the sum of its proper divisors (108450968).

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

48630000 is a wasteful number, since it uses less digits than its factorization.

48630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 48630000 is about 6973.5213486445. The cubic root of 48630000 is about 365.0071932028.

Adding to 48630000 its reverse (3684), we get a palindrome (48633684).

The spelling of 48630000 in words is "forty-eight million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1621 1875 2000 2500 3000 3242 3750 4863 5000 6000 6484 7500 8105 9726 10000 12968 15000 16210 19452 24315 25936 30000 32420 38904 40525 48630 64840 77808 81050 97260 121575 129680 162100 194520 202625 243150 324200 389040 405250 486300 607875 648400 810500 972600 1013125 1215750 1621000 1945200 2026250 2431500 3039375 3242000 4052500 4863000 6078750 8105000 9726000 12157500 16210000 24315000 48630000