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48770634 = 23112983307
BaseRepresentation
bin1011101000001…
…0111001001010
310101202210201210
42322002321022
544441130014
64501153550
71131354303
oct272027112
9111683653
1048770634
1125591110
12143bb8b6
13a147983
1466977aa
154435859
hex2e82e4a

48770634 has 64 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 14051520.

The previous prime is 48770627. The next prime is 48770651. The reversal of 48770634 is 43607784.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 48770592 and 48770601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158709 + ... + 159015.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 248770634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48770634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

48770634 is an abundant number, since it is smaller than the sum of its proper divisors (62996406).

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

48770634 is a wasteful number, since it uses less digits than its factorization.

48770634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 48770634 is about 6983.5974969925. The cubic root of 48770634 is about 365.3587115927.

The spelling of 48770634 in words is "forty-eight million, seven hundred seventy thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 83 87 166 174 249 307 319 498 614 638 913 921 957 1826 1842 1914 2407 2739 3377 4814 5478 6754 7221 8903 10131 14442 17806 20262 25481 26477 26709 50962 52954 53418 76443 79431 97933 152886 158862 195866 280291 293799 560582 587598 738949 840873 1477898 1681746 2216847 4433694 8128439 16256878 24385317 48770634