Search a number
-
+
9935507028 = 2237333293407
BaseRepresentation
bin10010100000011001…
…11100111001010100
3221122102102001101210
421100030330321110
5130321442211103
64321520221420
7501132262536
oct112014747124
927572361353
109935507028
114239375537
121b1346a870
13c24529455
146a3775856
153d23bde03
hex25033ce54

9935507028 has 48 divisors (see below), whose sum is σ = 23514382080. Its totient is φ = 3264528384.

The previous prime is 9935507017. The next prime is 9935507059. The reversal of 9935507028 is 8207055399.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2914501 + ... + 2917907.

It is an arithmetic number, because the mean of its divisors is an integer number (489882960).

Almost surely, 29935507028 is an apocalyptic number.

It is an amenable number.

9935507028 is an abundant number, since it is smaller than the sum of its proper divisors (13578875052).

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

9935507028 is a wasteful number, since it uses less digits than its factorization.

9935507028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 9935507028 is about 99677.0135387292. The cubic root of 9935507028 is about 2149.7931676279.

The spelling of 9935507028 in words is "nine billion, nine hundred thirty-five million, five hundred seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 3329 3407 6658 6814 9987 10221 13316 13628 19974 20442 39948 40884 243017 248711 486034 497422 729051 746133 972068 994844 1458102 1492266 2916204 2984532 11341903 22683806 34025709 45367612 68051418 136102836 827958919 1655917838 2483876757 3311835676 4967753514 9935507028