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48377142 = 23311233541
BaseRepresentation
bin1011100010001…
…0110100110110
310101000210222000
42320202310312
544341032032
64444520130
71125125142
oct270426466
9111023860
1048377142
1125342510
1214250046
13a03a838
1465d4222
1543a8e7c
hex2e22d36

48377142 has 64 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 14018400.

The previous prime is 48377129. The next prime is 48377159. The reversal of 48377142 is 24177384.

It is a happy number.

48377142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48377097 and 48377106.

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 31 ways as a sum of consecutive naturals, for example, 11892 + ... + 15432.

It is an arithmetic number, because the mean of its divisors is an integer number (1912680).

Almost surely, 248377142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48377142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

48377142 is an abundant number, since it is smaller than the sum of its proper divisors (74034378).

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

48377142 is a wasteful number, since it uses less digits than its factorization.

48377142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 48377142 is about 6955.3678551174. The cubic root of 48377142 is about 364.3734594366.

The spelling of 48377142 in words is "forty-eight million, three hundred seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 3541 4554 6831 7082 10623 13662 21246 31869 38951 63738 77902 81443 95607 116853 162886 191214 233706 244329 350559 488658 701118 732987 895873 1051677 1465974 1791746 2103354 2198961 2687619 4397922 5375238 8062857 16125714 24188571 48377142