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3291125552 = 24111329193257
BaseRepresentation
bin1100010000101010…
…1001011100110000
322111100211111111222
43010022221130300
523220012004202
61302324124212
7144362051141
oct30412513460
98440744458
103291125552
111439833380
1277a236668
13405ac5b90
14233149ac8
15143ded4a2
hexc42a9730

3291125552 has 160 divisors (see below), whose sum is σ = 7820124480. Its totient is φ = 1321205760.

The previous prime is 3291125507. The next prime is 3291125567. The reversal of 3291125552 is 2555211923.

It is an unprimeable number.

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, 12805808 + ... + 12806064.

It is an arithmetic number, because the mean of its divisors is an integer number (48875778).

Almost surely, 23291125552 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 3291125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910062240).

3291125552 is an abundant number, since it is smaller than the sum of its proper divisors (4528998928).

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

3291125552 is a wasteful number, since it uses less digits than its factorization.

3291125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 3291125552 is about 57368.3323097334. The cubic root of 3291125552 is about 1487.4697763037.

The spelling of 3291125552 in words is "three billion, two hundred ninety-one million, one hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 193 208 232 257 286 319 377 386 464 514 572 638 754 772 1028 1144 1276 1508 1544 2056 2123 2288 2509 2552 2827 3016 3088 3341 4112 4147 4246 5018 5104 5597 5654 6032 6682 7453 8294 8492 10036 11194 11308 13364 14906 16588 16984 20072 22388 22616 26728 27599 29812 33176 33968 36751 40144 44776 45232 49601 53456 55198 59624 61567 66352 72761 73502 81983 89552 96889 99202 110396 119248 123134 145522 147004 163966 193778 198404 220792 246268 291044 294008 327932 387556 396808 441584 492536 545611 582088 588016 644813 655864 775112 793616 800371 985072 1065779 1091222 1164176 1289626 1311728 1438429 1550224 1600742 2131558 2182444 2579252 2876858 3201484 4263116 4364888 5158504 5753716 6402968 7092943 8526232 8729776 10317008 11507432 12805936 14185886 15822719 17052464 18699577 23014864 28371772 31645438 37399154 56743544 63290876 74798308 113487088 126581752 149596616 205695347 253163504 299193232 411390694 822781388 1645562776 3291125552