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128104448 = 21171881
BaseRepresentation
bin1111010001010…
…11100000000000
322221001101021012
413220223200000
5230243320243
620413420052
73113604233
oct750534000
9287041235
10128104448
116634784a
1236a9a628
1320703a64
141302941a
15b3a6d18
hex7a2b800

128104448 has 48 divisors (see below), whose sum is σ = 260048880. Its totient is φ = 63078400.

The previous prime is 128104447. The next prime is 128104451. The reversal of 128104448 is 844401821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128104447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144968 + ... + 145848.

It is an arithmetic number, because the mean of its divisors is an integer number (5417685).

Almost surely, 2128104448 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 128104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024440).

128104448 is an abundant number, since it is smaller than the sum of its proper divisors (131944432).

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

128104448 is an frugal number, since it uses more digits than its factorization.

128104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 128104448 is about 11318.3235507738. The cubic root of 128104448 is about 504.1054620995.

The spelling of 128104448 in words is "one hundred twenty-eight million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 881 1024 1136 1762 2048 2272 3524 4544 7048 9088 14096 18176 28192 36352 56384 62551 72704 112768 125102 145408 225536 250204 451072 500408 902144 1000816 1804288 2001632 4003264 8006528 16013056 32026112 64052224 128104448