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261543156 = 223731472137
BaseRepresentation
bin11111001011011…
…01010011110100
3200020010202202120
433211231103310
51013423340111
641541435540
76324036330
oct1745552364
9606122676
10261543156
111246a8276
127370bbb0
1342254784
1426a427c0
1517e64406
hexf96d4f4

261543156 has 96 divisors (see below), whose sum is σ = 735608832. Its totient is φ = 70744320.

The previous prime is 261543103. The next prime is 261543169. The reversal of 261543156 is 651345162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121320 + ... + 123456.

It is an arithmetic number, because the mean of its divisors is an integer number (7662592).

Almost surely, 2261543156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261543156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367804416).

261543156 is an abundant number, since it is smaller than the sum of its proper divisors (474065676).

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

261543156 is a wasteful number, since it uses less digits than its factorization.

261543156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2227 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 261543156 is about 16172.2959408984. The cubic root of 261543156 is about 639.5106578468.

The spelling of 261543156 in words is "two hundred sixty-one million, five hundred forty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2137 2604 2914 3948 4274 4371 5828 6411 8548 8742 10199 12822 14959 17484 20398 25644 29918 30597 40796 44877 59836 61194 66247 89754 100439 122388 132494 179508 198741 200878 264988 301317 397482 401756 463729 602634 703073 794964 927458 1205268 1391187 1406146 1854916 2109219 2782374 2812292 3113609 4218438 5564748 6227218 8436876 9340827 12454436 18681654 21795263 37363308 43590526 65385789 87181052 130771578 261543156