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128379552 = 2537732617
BaseRepresentation
bin1111010011011…
…10101010100000
322221120100122020
413221232222200
5230331121202
620423341440
73116131260
oct751565240
9287510566
10128379552
1166515504
1236bb1880
132079c042
141309b7a0
15b40d5bc
hex7a6eaa0

128379552 has 96 divisors (see below), whose sum is σ = 390563712. Its totient is φ = 36163584.

The previous prime is 128379551. The next prime is 128379557. The reversal of 128379552 is 255973821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (128379551) 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, 47748 + ... + 50364.

It is an arithmetic number, because the mean of its divisors is an integer number (4068372).

Almost surely, 2128379552 is an apocalyptic number.

128379552 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 128379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195281856).

128379552 is an abundant number, since it is smaller than the sum of its proper divisors (262184160).

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

128379552 is a wasteful number, since it uses less digits than its factorization.

128379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2702 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 128379552 is about 11330.4700696838. The cubic root of 128379552 is about 504.4660591924.

The spelling of 128379552 in words is "one hundred twenty-eight million, three hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 2617 3066 3504 4088 5234 6132 7008 7851 8176 10468 12264 15702 16352 18319 20936 24528 31404 36638 41872 49056 54957 62808 73276 83744 109914 125616 146552 191041 219828 251232 293104 382082 439656 573123 586208 764164 879312 1146246 1337287 1528328 1758624 2292492 2674574 3056656 4011861 4584984 5349148 6113312 8023722 9169968 10698296 16047444 18339936 21396592 32094888 42793184 64189776 128379552