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48781980 = 22335136949
BaseRepresentation
bin1011101000010…
…1101010011100
310101210101022000
42322011222130
544442010410
64501322300
71131432342
oct272055234
9111711260
1048781980
1125599695
1214406390
13a14cba0
14669b992
154438dc0
hex2e85a9c

48781980 has 96 divisors (see below), whose sum is σ = 163464000. Its totient is φ = 12006144.

The previous prime is 48781951. The next prime is 48781981. The reversal of 48781980 is 8918784.

48781980 is a `hidden beast` number, since 487 + 81 + 98 + 0 = 666.

48781980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48781981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3546 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (1702750).

Almost surely, 248781980 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 48781980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81732000).

48781980 is an abundant number, since it is smaller than the sum of its proper divisors (114682020).

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

48781980 is a wasteful number, since it uses less digits than its factorization.

48781980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 48781980 is about 6984.4097817926. The cubic root of 48781980 is about 365.3870417454.

The spelling of 48781980 in words is "forty-eight million, seven hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 6949 7020 13898 20847 27796 34745 41694 62541 69490 83388 90337 104235 125082 138980 180674 187623 208470 250164 271011 312705 361348 375246 416940 451685 542022 625410 750492 813033 903370 938115 1084044 1250820 1355055 1626066 1806740 1876230 2439099 2710110 3252132 3752460 4065165 4878198 5420220 8130330 9756396 12195495 16260660 24390990 48781980