Search a number
-
+
48080676 = 22371274507
BaseRepresentation
bin1011011101101…
…0011100100100
310100110202021210
42313122130210
544302040201
64434311420
71122451620
oct267323444
9110422253
1048080676
112515a7a6
1214128570
139c65907
146558180
15434b1d6
hex2dda724

48080676 has 48 divisors (see below), whose sum is σ = 129253376. Its totient is φ = 13626144.

The previous prime is 48080657. The next prime is 48080677. The reversal of 48080676 is 67608084.

It is a super-3 number, since 3×480806763 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48080677) 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, 8415 + ... + 12921.

Almost surely, 248080676 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 48080676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64626688).

48080676 is an abundant number, since it is smaller than the sum of its proper divisors (81172700).

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

48080676 is a wasteful number, since it uses less digits than its factorization.

48080676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 48080676 is about 6934.0230746660. The cubic root of 48080676 is about 363.6276129637.

The spelling of 48080676 in words is "forty-eight million, eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 4507 5334 9014 10668 13521 18028 27042 31549 54084 63098 94647 126196 189294 378588 572389 1144778 1717167 2289556 3434334 4006723 6868668 8013446 12020169 16026892 24040338 48080676