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48140784 = 2433472371
BaseRepresentation
bin1011011110100…
…1000111110000
310100120210202000
42313221013300
544311001114
64435454000
71123122066
oct267510760
9110523660
1048140784
11251a097a
1214157300
139c87093
146572036
15435de09
hex2de91f0

48140784 has 80 divisors (see below), whose sum is σ = 141181440. Its totient is φ = 15698880.

The previous prime is 48140777. The next prime is 48140789. The reversal of 48140784 is 48704184.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48140789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19119 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (1764768).

Almost surely, 248140784 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 48140784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70590720).

48140784 is an abundant number, since it is smaller than the sum of its proper divisors (93040656).

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

48140784 is a wasteful number, since it uses less digits than its factorization.

48140784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2423 counting only the distinct ones).

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

The square root of 48140784 is about 6938.3560012441. The cubic root of 48140784 is about 363.7790794055.

The spelling of 48140784 in words is "forty-eight million, one hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2371 2538 3384 4742 5076 6768 7113 9484 10152 14226 18968 20304 21339 28452 37936 42678 56904 64017 85356 111437 113808 128034 170712 222874 256068 334311 341424 445748 512136 668622 891496 1002933 1024272 1337244 1782992 2005866 2674488 3008799 4011732 5348976 6017598 8023464 12035196 16046928 24070392 48140784