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261426464 = 25132389307
BaseRepresentation
bin11111001010100…
…00110100100000
3200012220211200122
433211100310200
51013411121324
641535135412
76323042165
oct1745206440
9605824618
10261426464
11124628632
1273674568
1342213620
1426a1206c
1517e3ea5e
hexf950d20

261426464 has 96 divisors (see below), whose sum is σ = 586776960. Its totient is φ = 113743872.

The previous prime is 261426461. The next prime is 261426467. The reversal of 261426464 is 464624162.

It is an interprime number because it is at equal distance from previous prime (261426461) and next prime (261426467).

It is not an unprimeable number, because it can be changed into a prime (261426461) 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, 851399 + ... + 851705.

It is an arithmetic number, because the mean of its divisors is an integer number (6112260).

Almost surely, 2261426464 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 261426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293388480).

261426464 is an abundant number, since it is smaller than the sum of its proper divisors (325350496).

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

261426464 is a wasteful number, since it uses less digits than its factorization.

261426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 261426464 is about 16168.6877636993. The cubic root of 261426464 is about 639.4155341202.

The spelling of 261426464 in words is "two hundred sixty-one million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 89 92 104 178 184 208 299 307 356 368 416 598 614 712 736 1157 1196 1228 1424 2047 2314 2392 2456 2848 3991 4094 4628 4784 4912 7061 7982 8188 9256 9568 9824 14122 15964 16376 18512 26611 27323 28244 31928 32752 37024 53222 54646 56488 63856 65504 91793 106444 109292 112976 127712 183586 212888 218584 225952 355199 367172 425776 437168 628429 710398 734344 851552 874336 1256858 1420796 1468688 2513716 2841592 2937376 5027432 5683184 8169577 10054864 11366368 16339154 20109728 32678308 65356616 130713232 261426464