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3255251552 = 257103199709
BaseRepresentation
bin1100001000000111…
…0011001001100000
322101212022220122022
43002001303021200
523131321022202
61255003201012
7143445116210
oct30201631140
98355286568
103255251552
111420560743
1276a216168
133cb545367
1422c48c240
15140bb3ea2
hexc2073260

3255251552 has 96 divisors (see below), whose sum is σ = 7443072000. Its totient is φ = 1372681728.

The previous prime is 3255251543. The next prime is 3255251561. The reversal of 3255251552 is 2551525523.

It is an interprime number because it is at equal distance from previous prime (3255251543) and next prime (3255251561).

It is a congruent number.

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, 4590974 + ... + 4591682.

It is an arithmetic number, because the mean of its divisors is an integer number (77532000).

Almost surely, 23255251552 is an apocalyptic number.

3255251552 is a gapful number since it is divisible by the number (32) 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 3255251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721536000).

3255251552 is an abundant number, since it is smaller than the sum of its proper divisors (4187820448).

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

3255251552 is a wasteful number, since it uses less digits than its factorization.

3255251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its digits is 75000, while the sum is 35.

The square root of 3255251552 is about 57054.8118216159. The cubic root of 3255251552 is about 1482.0454357404.

The spelling of 3255251552 in words is "three billion, two hundred fifty-five million, two hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 199 206 224 398 412 709 721 796 824 1393 1418 1442 1592 1648 2786 2836 2884 3184 3296 4963 5572 5672 5768 6368 9926 11144 11344 11536 19852 20497 22288 22688 23072 39704 40994 44576 73027 79408 81988 141091 143479 146054 158816 163976 282182 286958 292108 327952 511189 564364 573916 584216 655904 987637 1022378 1128728 1147832 1168432 1975274 2044756 2257456 2295664 2336864 3950548 4089512 4514912 4591328 7901096 8179024 14532373 15802192 16358048 29064746 31604384 58129492 101726611 116258984 203453222 232517968 406906444 465035936 813812888 1627625776 3255251552