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3289325952 = 27311270793
BaseRepresentation
bin1100010000001111…
…0010000110000000
322111020110001221010
43010003302012000
523214031412302
61302221400520
7144340544403
oct30403620600
98436401833
103289325952
111438814300
12779709140
13405615a23
14232bdbd3a
15143b9516c
hexc40f2180

3289325952 has 96 divisors (see below), whose sum is σ = 9603914040. Its totient is φ = 996751360.

The previous prime is 3289325929. The next prime is 3289325987. The reversal of 3289325952 is 2595239823.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11068 + ... + 81860.

Almost surely, 23289325952 is an apocalyptic number.

3289325952 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 3289325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801957020).

3289325952 is an abundant number, since it is smaller than the sum of its proper divisors (6314588088).

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

3289325952 is a wasteful number, since it uses less digits than its factorization.

3289325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70832 (or 70809 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 3289325952 is about 57352.6455536273. The cubic root of 3289325952 is about 1487.1986088243.

The spelling of 3289325952 in words is "three billion, two hundred eighty-nine million, three hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 70793 141586 212379 283172 424758 566344 778723 849516 1132688 1557446 1699032 2265376 2336169 3114892 3398064 4530752 4672338 6229784 6796128 8565953 9061504 9344676 12459568 13592256 17131906 18689352 24919136 25697859 27184512 34263812 37378704 49838272 51395718 68527624 74757408 99676544 102791436 137055248 149514816 205582872 274110496 299029632 411165744 548220992 822331488 1096441984 1644662976 3289325952