Search a number
-
+
48076629 = 3173147647
BaseRepresentation
bin1011011101100…
…1011101010101
310100110112201220
42313121131111
544301423004
64434240553
71122434046
oct267313525
9110415656
1048076629
1125157757
1214126159
139c63b13
1465568cd
154349dd9
hex2dd9755

48076629 has 32 divisors (see below), whose sum is σ = 71663616. Its totient is φ = 28527360.

The previous prime is 48076627. The next prime is 48076661. The reversal of 48076629 is 92667084.

It is not a de Polignac number, because 48076629 - 21 = 48076627 is a prime.

It is a super-3 number, since 3×480766293 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48076621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73984 + ... + 74630.

It is an arithmetic number, because the mean of its divisors is an integer number (2239488).

Almost surely, 248076629 is an apocalyptic number.

It is an amenable number.

48076629 is a deficient number, since it is larger than the sum of its proper divisors (23586987).

48076629 is a wasteful number, since it uses less digits than its factorization.

48076629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 48076629 is about 6933.7312465944. The cubic root of 48076629 is about 363.6174103739.

The spelling of 48076629 in words is "forty-eight million, seventy-six thousand, six hundred twenty-nine".

Divisors: 1 3 17 31 47 51 93 141 527 647 799 1457 1581 1941 2397 4371 10999 20057 24769 30409 32997 60171 74307 91227 340969 516953 942679 1022907 1550859 2828037 16025543 48076629