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48874104 = 233531811
BaseRepresentation
bin1011101001110…
…0001001111000
310101222001200000
42322130021320
5100002432404
64503313000
71132265046
oct272341170
9111861600
1048874104
1125651924
121444b760
13a182ab6
1466c3396
154456339
hex2e9c278

48874104 has 96 divisors (see below), whose sum is σ = 141872640. Its totient is φ = 15746400.

The previous prime is 48874087. The next prime is 48874121. The reversal of 48874104 is 40147884.

It is a happy number.

48874104 is a `hidden beast` number, since 488 + 74 + 104 = 666.

48874104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48874087) and next prime (48874121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59859 + ... + 60669.

It is an arithmetic number, because the mean of its divisors is an integer number (1477840).

Almost surely, 248874104 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 48874104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70936320).

48874104 is an abundant number, since it is smaller than the sum of its proper divisors (92998536).

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

48874104 is a wasteful number, since it uses less digits than its factorization.

48874104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48874104 is about 6991.0016449719. The cubic root of 48874104 is about 365.6169063297.

The spelling of 48874104 in words is "forty-eight million, eight hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 811 837 972 1116 1622 1674 1944 2232 2433 2511 3244 3348 4866 5022 6488 6696 7299 7533 9732 10044 14598 15066 19464 20088 21897 25141 29196 30132 43794 50282 58392 60264 65691 75423 87588 100564 131382 150846 175176 197073 201128 226269 262764 301692 394146 452538 525528 603384 678807 788292 905076 1357614 1576584 1810152 2036421 2715228 4072842 5430456 6109263 8145684 12218526 16291368 24437052 48874104