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8232561420 = 22353710693469
BaseRepresentation
bin1111010101011001…
…01110101100001100
3210020202000110012020
413222230232230030
5113330013431140
63440524210140
7411003421536
oct75254565414
923222013166
108232561420
113545080276
121719099950
13a1278b225
14581524856
15332b376d0
hex1eab2eb0c

8232561420 has 96 divisors (see below), whose sum is σ = 23703153600. Its totient is φ = 2133402624.

The previous prime is 8232561413. The next prime is 8232561451. The reversal of 8232561420 is 241652328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2371446 + ... + 2374914.

It is an arithmetic number, because the mean of its divisors is an integer number (246907850).

Almost surely, 28232561420 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 8232561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851576800).

8232561420 is an abundant number, since it is smaller than the sum of its proper divisors (15470592180).

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

8232561420 is a wasteful number, since it uses less digits than its factorization.

8232561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8232561420 is about 90733.4636173446. The cubic root of 8232561420 is about 2019.1952991870.

The spelling of 8232561420 in words is "eight billion, two hundred thirty-two million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1069 1110 2138 2220 3207 3469 4276 5345 6414 6938 10407 10690 12828 13876 16035 17345 20814 21380 32070 34690 39553 41628 52035 64140 69380 79106 104070 118659 128353 158212 197765 208140 237318 256706 385059 395530 474636 513412 593295 641765 770118 791060 1186590 1283530 1540236 1925295 2373180 2567060 3708361 3850590 7416722 7701180 11125083 14833444 18541805 22250166 37083610 44500332 55625415 74167220 111250830 137209357 222501660 274418714 411628071 548837428 686046785 823256142 1372093570 1646512284 2058140355 2744187140 4116280710 8232561420