Search a number
-
+
1604999424 = 28374353131
BaseRepresentation
bin101111110101010…
…0101100100000000
311010212002102022010
41133222211210000
511241334440144
6423132412520
754526161420
oct13752454400
94125072263
101604999424
11753a86906
12389617140
131c7696502
14113236480
1595d8a5b9
hex5faa5900

1604999424 has 288 divisors, whose sum is σ = 5128510464. Its totient is φ = 436101120.

The previous prime is 1604999419. The next prime is 1604999447. The reversal of 1604999424 is 4249994061.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12251839 + ... + 12251969.

It is an arithmetic number, because the mean of its divisors is an integer number (17807328).

Almost surely, 21604999424 is an apocalyptic number.

1604999424 is a gapful number since it is divisible by the number (14) 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 1604999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564255232).

1604999424 is an abundant number, since it is smaller than the sum of its proper divisors (3523511040).

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

1604999424 is a wasteful number, since it uses less digits than its factorization.

1604999424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1604999424 is about 40062.4440592433. Note that the first 3 decimals coincide. The cubic root of 1604999424 is about 1170.8240290420.

The spelling of 1604999424 in words is "one billion, six hundred four million, nine hundred ninety-nine thousand, four hundred twenty-four".