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1561453264 = 247172928279
BaseRepresentation
bin101110100010001…
…1110001011010000
311000211011001012101
41131010132023100
511144213001024
6414535210144
753460063610
oct13504361320
94024131171
101561453264
11731443a48
12376b16954
131bb65a857
1410b53ca40
1592137c44
hex5d11e2d0

1561453264 has 80 divisors (see below), whose sum is σ = 3787257600. Its totient is φ = 608090112.

The previous prime is 1561453241. The next prime is 1561453273. The reversal of 1561453264 is 4623541651.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41077 + ... + 69355.

It is an arithmetic number, because the mean of its divisors is an integer number (47340720).

Almost surely, 21561453264 is an apocalyptic number.

1561453264 is a gapful number since it is divisible by the number (14) 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 1561453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893628800).

1561453264 is an abundant number, since it is smaller than the sum of its proper divisors (2225804336).

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

1561453264 is a wasteful number, since it uses less digits than its factorization.

1561453264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28340 (or 28334 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 1561453264 is about 39515.2282544338. The cubic root of 1561453264 is about 1160.1380295521.

The spelling of 1561453264 in words is "one billion, five hundred sixty-one million, four hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 3248 3451 3944 6902 7888 13804 27608 28279 55216 56558 113116 197953 226232 395906 452464 480743 791812 820091 961486 1583624 1640182 1922972 3167248 3280364 3365201 3845944 5740637 6560728 6730402 7691888 11481274 13121456 13460804 13941547 22962548 26921608 27883094 45925096 53843216 55766188 91850192 97590829 111532376 195181658 223064752 390363316 780726632 1561453264