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1012830048 = 25331172257
BaseRepresentation
bin111100010111101…
…000111101100000
32121120211002122000
4330113220331200
54033241030143
6244300244000
734045625166
oct7427507540
92546732560
101012830048
1147a79722a
12243240600
13131aacc29
149872b236
155ddb7bd3
hex3c5e8f60

1012830048 has 48 divisors (see below), whose sum is σ = 2954090160. Its totient is φ = 337609728.

The previous prime is 1012830043. The next prime is 1012830083. The reversal of 1012830048 is 8400382101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10128300482 = 2051649412263364608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012830043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585265 + ... + 586992.

It is an arithmetic number, because the mean of its divisors is an integer number (61543545).

Almost surely, 21012830048 is an apocalyptic number.

1012830048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1012830048 is an abundant number, since it is smaller than the sum of its proper divisors (1941260112).

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

1012830048 is a wasteful number, since it uses less digits than its factorization.

1012830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172276 (or 1172262 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1012830048 is about 31824.9909347984. The cubic root of 1012830048 is about 1004.2585219150.

The spelling of 1012830048 in words is "one billion, twelve million, eight hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1172257 2344514 3516771 4689028 7033542 9378056 10550313 14067084 18756112 21100626 28134168 31650939 37512224 42201252 56268336 63301878 84402504 112536672 126603756 168805008 253207512 337610016 506415024 1012830048