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1029137472 = 263211592753
BaseRepresentation
bin111101010101110…
…110010001000000
32122201111121012200
4331111312101000
54101424344342
6250041553200
734334344536
oct7525662100
92581447180
101029137472
11488a15240
122487a5800
1313529c6ac
149a974156
156053994c
hex3d576440

1029137472 has 168 divisors, whose sum is σ = 3273734880. Its totient is φ = 306462720.

The previous prime is 1029137419. The next prime is 1029137509. The reversal of 1029137472 is 2747319201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372448 + ... + 375200.

Almost surely, 21029137472 is an apocalyptic number.

1029137472 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 1029137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636867440).

1029137472 is an abundant number, since it is smaller than the sum of its proper divisors (2244597408).

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

1029137472 is a wasteful number, since it uses less digits than its factorization.

1029137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1029137472 is about 32080.1725681144. The cubic root of 1029137472 is about 1009.6196561549.

The spelling of 1029137472 in words is "one billion, twenty-nine million, one hundred thirty-seven thousand, four hundred seventy-two".