Search a number
-
+
1453299948 = 223367200843
BaseRepresentation
bin101011010011111…
…1001100011101100
310202021122021202000
41112213321203230
510434021044243
6400113132300
751004563042
oct12647714354
93667567660
101453299948
11686393841
1234685a090
131a2120bc9
14db028392
15878c25d3
hex569f98ec

1453299948 has 48 divisors (see below), whose sum is σ = 3824069760. Its totient is φ = 477200592.

The previous prime is 1453299931. The next prime is 1453300007. The reversal of 1453299948 is 8499923541.

1453299948 is a `hidden beast` number, since 14 + 532 + 9 + 9 + 94 + 8 = 666.

It is a super-2 number, since 2×14532999482 = 4224161477713605408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1453299894 and 1453299903.

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, 93186 + ... + 107657.

It is an arithmetic number, because the mean of its divisors is an integer number (79668120).

Almost surely, 21453299948 is an apocalyptic number.

1453299948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1453299948 is an abundant number, since it is smaller than the sum of its proper divisors (2370769812).

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

1453299948 is a wasteful number, since it uses less digits than its factorization.

1453299948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200923 (or 200915 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1453299948 is about 38122.1713442453. The cubic root of 1453299948 is about 1132.7091776241.

It can be divided in two parts, 1453 and 299948, that added together give a square (301401 = 5492).

The spelling of 1453299948 in words is "one billion, four hundred fifty-three million, two hundred ninety-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 200843 401686 602529 803372 1205058 1807587 2410116 3615174 5422761 7230348 10845522 13456481 21691044 26912962 40369443 53825924 80738886 121108329 161477772 242216658 363324987 484433316 726649974 1453299948