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1042495272 = 23357137183
BaseRepresentation
bin111110001000110…
…011011100101000
32200122122020200000
4332020303130220
54113334322042
6251240143000
734556030550
oct7610633450
92618566600
101042495272
11495509145
12251167a60
13137c98710
149c650160
15617c774c
hex3e233728

1042495272 has 384 divisors, whose sum is σ = 3698472960. Its totient is φ = 267805440.

The previous prime is 1042495271. The next prime is 1042495273. The reversal of 1042495272 is 2725942401.

1042495272 is a `hidden beast` number, since 104 + 24 + 9 + 527 + 2 = 666.

1042495272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042495271) and next prime (1042495273).

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

It is not an unprimeable number, because it can be changed into a prime (1042495271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12560143 + ... + 12560225.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 21042495272 is an apocalyptic number.

1042495272 is a gapful number since it is divisible by the number (12) 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 1042495272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1042495272 is an abundant number, since it is smaller than the sum of its proper divisors (2655977688).

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

1042495272 is a wasteful number, since it uses less digits than its factorization.

1042495272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1042495272 is about 32287.6953652626. The cubic root of 1042495272 is about 1013.9690477580.

The spelling of 1042495272 in words is "one billion, forty-two million, four hundred ninety-five thousand, two hundred seventy-two".