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48347442 = 23411132087
BaseRepresentation
bin1011100001101…
…1100100110010
310100222022020000
42320123210302
544334104232
64444130430
71124642433
oct270334462
9110868200
1048347442
1125322170
1214236a16
13a02a170
1465c748a
1543a027c
hex2e1b932

48347442 has 80 divisors (see below), whose sum is σ = 127334592. Its totient is φ = 13517280.

The previous prime is 48347423. The next prime is 48347459. The reversal of 48347442 is 24474384.

It is a happy number.

48347442 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 = 48347397 and 48347406.

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 39 ways as a sum of consecutive naturals, for example, 22123 + ... + 24209.

Almost surely, 248347442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48347442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63667296).

48347442 is an abundant number, since it is smaller than the sum of its proper divisors (78987150).

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

48347442 is a wasteful number, since it uses less digits than its factorization.

48347442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2116 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 48347442 is about 6953.2324856861. The cubic root of 48347442 is about 364.2988780216.

The spelling of 48347442 in words is "forty-eight million, three hundred forty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2087 2106 2574 3861 4174 6261 7722 11583 12522 18783 22957 23166 27131 37566 45914 54262 56349 68871 81393 112698 137742 162786 169047 206613 244179 298441 338094 413226 488358 596882 619839 732537 895323 1239678 1465074 1790646 1859517 2197611 2685969 3719034 4395222 5371938 8057907 16115814 24173721 48347442