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261145152 = 2632453377
BaseRepresentation
bin11111001000011…
…00001001000000
3200012101112210200
433210030021000
51013323121102
641525125200
76320461062
oct1744141100
9605345720
10261145152
11124456244
1273559800
1342145578
142697b732
1517dd651c
hexf90c240

261145152 has 42 divisors (see below), whose sum is σ = 748527078. Its totient is φ = 87048192.

The previous prime is 261145127. The next prime is 261145187. The reversal of 261145152 is 251541162.

261145152 is a `hidden beast` number, since 2 + 611 + 45 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 259338816 + 1806336 = 16104^2 + 1344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226113 + ... + 227264.

Almost surely, 2261145152 is an apocalyptic number.

It is an amenable number.

261145152 is an abundant number, since it is smaller than the sum of its proper divisors (487381926).

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

261145152 is a wasteful number, since it uses less digits than its factorization.

261145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453395 (or 453382 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 261145152 is about 16159.9861386079. The cubic root of 261145152 is about 639.1861008056.

The spelling of 261145152 in words is "two hundred sixty-one million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 453377 906754 1360131 1813508 2720262 3627016 4080393 5440524 7254032 8160786 10881048 14508064 16321572 21762096 29016128 32643144 43524192 65286288 87048384 130572576 261145152