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128271552 = 2632331937
BaseRepresentation
bin1111010010101…
…00010011000000
322221100212111020
413221110103000
5230314142202
620421145440
73115201353
oct751242300
9287325436
10128271552
1166451352
1236b5b280
1320761b36
141307029a
15b3db5bc
hex7a544c0

128271552 has 112 divisors (see below), whose sum is σ = 365955072. Its totient is φ = 39536640.

The previous prime is 128271541. The next prime is 128271587. The reversal of 128271552 is 255172821.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136428 + ... + 137364.

It is an arithmetic number, because the mean of its divisors is an integer number (3267456).

Almost surely, 2128271552 is an apocalyptic number.

128271552 is a gapful number since it is divisible by the number (12) 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 128271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182977536).

128271552 is an abundant number, since it is smaller than the sum of its proper divisors (237683520).

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

128271552 is a wasteful number, since it uses less digits than its factorization.

128271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 128271552 is about 11325.7031569788. The cubic root of 128271552 is about 504.3245578953.

The spelling of 128271552 in words is "one hundred twenty-eight million, two hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 937 992 1104 1426 1472 1488 1874 1984 2139 2208 2811 2852 2976 3748 4278 4416 5622 5704 5952 7496 8556 11244 11408 14992 17112 21551 22488 22816 29047 29984 34224 43102 44976 45632 58094 59968 64653 68448 86204 87141 89952 116188 129306 136896 172408 174282 179904 232376 258612 344816 348564 464752 517224 668081 689632 697128 929504 1034448 1336162 1379264 1394256 1859008 2004243 2068896 2672324 2788512 4008486 4137792 5344648 5577024 8016972 10689296 16033944 21378592 32067888 42757184 64135776 128271552