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261433088 = 287236343
BaseRepresentation
bin11111001010100…
…10011100000000
3200012221011202222
433211102130000
51013411324323
641535230212
76323100410
oct1745223400
9605834688
10261433088
11124632604
1273678368
1342216647
1426a14640
1517e419c8
hexf952700

261433088 has 72 divisors (see below), whose sum is σ = 622422528. Its totient is φ = 107154432.

The previous prime is 261433049. The next prime is 261433091. The reversal of 261433088 is 880334162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38045 + ... + 44387.

Almost surely, 2261433088 is an apocalyptic number.

261433088 is a gapful number since it is divisible by the number (28) 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 261433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311211264).

261433088 is an abundant number, since it is smaller than the sum of its proper divisors (360989440).

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

261433088 is an equidigital number, since it uses as much as digits as its factorization.

261433088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 261433088 is about 16168.8926027728. The cubic root of 261433088 is about 639.4209345589.

The spelling of 261433088 in words is "two hundred sixty-one million, four hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2944 5152 5888 6343 10304 12686 20608 25372 41216 44401 50744 88802 101488 145889 177604 202976 291778 355208 405952 583556 710416 811904 1021223 1167112 1420832 1623808 2042446 2334224 2841664 4084892 4668448 5683328 8169784 9336896 11366656 16339568 18673792 32679136 37347584 65358272 130716544 261433088