Search a number
-
+
42901004628 = 22321923301093
BaseRepresentation
bin100111111101000110…
…010110000101010100
311002201211210211201100
4213331012112011110
51200330124122003
631413005230100
73046061344146
oct477506260524
9132654724640
1042901004628
1117215553829
128393562330
1340790b5651
14210d9a4c96
1511b1523ba3
hex9fd196154

42901004628 has 54 divisors (see below), whose sum is σ = 114452230074. Its totient is φ = 13547681568.

The previous prime is 42901004579. The next prime is 42901004639. The reversal of 42901004628 is 82640010924.

42901004628 is a `hidden beast` number, since 4 + 2 + 90 + 100 + 462 + 8 = 666.

42901004628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36767295504 + 6133709124 = 191748^2 + 78318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42901004592 and 42901004601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1637551 + ... + 1663542.

Almost surely, 242901004628 is an apocalyptic number.

It is an amenable number.

42901004628 is an abundant number, since it is smaller than the sum of its proper divisors (71551225446).

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

42901004628 is a wasteful number, since it uses less digits than its factorization.

42901004628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301141 (or 3301117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42901004628 in words is "forty-two billion, nine hundred one million, four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 3301093 6602186 9903279 13204372 19806558 29709837 39613116 59419674 62720767 118839348 125441534 188162301 250883068 376324602 564486903 752649204 1128973806 1191694573 2257947612 2383389146 3575083719 4766778292 7150167438 10725251157 14300334876 21450502314 42901004628