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1252972932 = 2232331714321
BaseRepresentation
bin100101010101110…
…1101100110000100
310020022200121201220
41022223231212010
510031230113212
6324155320340
743023044211
oct11253554604
93208617656
101252972932
115932a8122
122ab7500b0
1316c780b03
14bc59cb08
157500138c
hex4aaed984

1252972932 has 48 divisors (see below), whose sum is σ = 3060554112. Its totient is φ = 398210560.

The previous prime is 1252972901. The next prime is 1252972933. The reversal of 1252972932 is 2392792521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1252972933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80332 + ... + 94652.

It is an arithmetic number, because the mean of its divisors is an integer number (63761544).

Almost surely, 21252972932 is an apocalyptic number.

1252972932 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 1252972932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530277056).

1252972932 is an abundant number, since it is smaller than the sum of its proper divisors (1807581180).

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

1252972932 is a wasteful number, since it uses less digits than its factorization.

1252972932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14666 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 1252972932 is about 35397.3576979977. The cubic root of 1252972932 is about 1078.0706672523.

The spelling of 1252972932 in words is "one billion, two hundred fifty-two million, nine hundred seventy-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 317 634 951 1268 1902 3804 7291 14321 14582 21873 28642 29164 42963 43746 57284 85926 87492 171852 329383 658766 988149 1317532 1976298 3952596 4539757 9079514 13619271 18159028 27238542 54477084 104414411 208828822 313243233 417657644 626486466 1252972932