Search a number
-
+
35390449920 = 2835721271481
BaseRepresentation
bin100000111101011011…
…110110100100000000
310101100102101010112110
4200331123312210000
51034434423344140
624131432055320
72362002601200
oct407533664400
9111312333473
1035390449920
1114010a93921
126a38234540
1334500a0437
1419da306400
15dc1ea9380
hex83d6f6900

35390449920 has 432 divisors, whose sum is σ = 132606609408. Its totient is φ = 8020131840.

The previous prime is 35390449909. The next prime is 35390449933. The reversal of 35390449920 is 2994409353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 35390449920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23895580 + ... + 23897060.

It is an arithmetic number, because the mean of its divisors is an integer number (306959744).

Almost surely, 235390449920 is an apocalyptic number.

35390449920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35390449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66303304704).

35390449920 is an abundant number, since it is smaller than the sum of its proper divisors (97216159488).

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

35390449920 is a wasteful number, since it uses less digits than its factorization.

35390449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 35390449920 in words is "thirty-five billion, three hundred ninety million, four hundred forty-nine thousand, nine hundred twenty".