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1631886432 = 253112367189
BaseRepresentation
bin110000101000100…
…1001110001100000
311012201200102100020
41201101021301200
511320230331212
6425532553440
755303543251
oct14121116140
94181612306
101631886432
11768180480
12396622880
1320011b597
14116a34b28
15983ebd8c
hex61449c60

1631886432 has 96 divisors (see below), whose sum is σ = 4876381440. Its totient is φ = 473003520.

The previous prime is 1631886401. The next prime is 1631886461. The reversal of 1631886432 is 2346881361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9307 + ... + 57882.

It is an arithmetic number, because the mean of its divisors is an integer number (50795640).

Almost surely, 21631886432 is an apocalyptic number.

1631886432 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 1631886432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438190720).

1631886432 is an abundant number, since it is smaller than the sum of its proper divisors (3244495008).

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

1631886432 is a wasteful number, since it uses less digits than its factorization.

1631886432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67236 (or 67228 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1631886432 is about 40396.6141155419. The cubic root of 1631886432 is about 1177.3257527692.

The spelling of 1631886432 in words is "one billion, six hundred thirty-one million, eight hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 67189 134378 201567 268756 403134 537512 739079 806268 1075024 1478158 1545347 1612536 2150048 2217237 2956316 3090694 3225072 4434474 4636041 5912632 6181388 6450144 8868948 9272082 11825264 12362776 16998817 17737896 18544164 23650528 24725552 33997634 35475792 37088328 49451104 50996451 67995268 70951584 74176656 101992902 135990536 148353312 203985804 271981072 407971608 543962144 815943216 1631886432