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1024472772 = 22343161953
BaseRepresentation
bin111101000100000…
…011011011000100
32122101201121110000
4331010003123010
54044231112042
6245354001300
734246606041
oct7504033304
92571647400
101024472772
11486319614
12247116230
1313432840b
149a0bc1c8
155ee1774c
hex3d1036c4

1024472772 has 30 divisors (see below), whose sum is σ = 2678175038. Its totient is φ = 341490816.

The previous prime is 1024472759. The next prime is 1024472773. The reversal of 1024472772 is 2772744201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 984327876 + 40144896 = 31374^2 + 6336^2 .

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 (1024472773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1580653 + ... + 1581300.

Almost surely, 21024472772 is an apocalyptic number.

1024472772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024472772 is an abundant number, since it is smaller than the sum of its proper divisors (1653702266).

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

1024472772 is a wasteful number, since it uses less digits than its factorization.

1024472772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161969 (or 3161958 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 1024472772 is about 32007.3862100610. The cubic root of 1024472772 is about 1008.0919346421.

The spelling of 1024472772 in words is "one billion, twenty-four million, four hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3161953 6323906 9485859 12647812 18971718 28457577 37943436 56915154 85372731 113830308 170745462 256118193 341490924 512236386 1024472772