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4531325552 = 2413314359277
BaseRepresentation
bin1000011100001011…
…01000101001110000
3102200210111012002022
410032011220221300
533240004404202
62025350011012
7220201426445
oct41605505160
912623435068
104531325552
111a158a6a56
12a65646a68
13572a23c30
1430db419cc
151b7c29ea2
hex10e168a70

4531325552 has 160 divisors (see below), whose sum is σ = 10192680960. Its totient is φ = 1936327680.

The previous prime is 4531325551. The next prime is 4531325563. The reversal of 4531325552 is 2555231354.

It is a super-2 number, since 2×45313255522 = 41065822516416209408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531325551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16358438 + ... + 16358714.

It is an arithmetic number, because the mean of its divisors is an integer number (63704256).

Almost surely, 24531325552 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 4531325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096340480).

4531325552 is an abundant number, since it is smaller than the sum of its proper divisors (5661355408).

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

4531325552 is a wasteful number, since it uses less digits than its factorization.

4531325552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 90000, while the sum is 35.

The square root of 4531325552 is about 67315.1212730097. The cubic root of 4531325552 is about 1654.7856839521.

The spelling of 4531325552 in words is "four billion, five hundred thirty-one million, three hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 43 52 59 62 86 104 118 124 172 208 236 248 277 344 403 472 496 554 559 688 767 806 944 1108 1118 1333 1534 1612 1829 2216 2236 2537 2666 3068 3224 3601 3658 4432 4472 5074 5332 6136 6448 7202 7316 8587 8944 10148 10664 11911 12272 14404 14632 16343 17174 17329 20296 21328 23777 23822 28808 29264 32686 32981 34348 34658 40592 47554 47644 57616 65372 65962 68696 69316 78647 95108 95288 111631 130744 131924 137392 138632 154843 157294 190216 190576 212459 223262 261488 263848 277264 309686 314588 369241 380432 424918 446524 506633 527696 619372 629176 702749 738482 849836 893048 1013266 1022411 1238744 1258352 1405498 1476964 1699672 1786096 2026532 2044822 2477488 2810996 2953928 3399344 4053064 4089644 4800133 5621992 5907856 6586229 8106128 8179288 9135737 9600266 11243984 13172458 16358576 18271474 19200532 21785219 26344916 36542948 38401064 43570438 52689832 73085896 76802128 87140876 105379664 146171792 174281752 283207847 348563504 566415694 1132831388 2265662776 4531325552