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8059811424 = 253739730211
BaseRepresentation
bin1111000000110011…
…01111011001100000
3202210200221211202020
413200121233121200
5113001302431144
63411433421440
7403505160330
oct74031573140
922720854666
108059811424
11346660a685
12168b26a880
139b5a552b2
145665d70c0
153228b2419
hex1e066f660

8059811424 has 96 divisors (see below), whose sum is σ = 24241142016. Its totient is φ = 2296926720.

The previous prime is 8059811423. The next prime is 8059811429. The reversal of 8059811424 is 4241189508.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8059811423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251679 + ... + 281889.

It is an arithmetic number, because the mean of its divisors is an integer number (252511896).

Almost surely, 28059811424 is an apocalyptic number.

8059811424 is a gapful number since it is divisible by the number (84) 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 8059811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120571008).

8059811424 is an abundant number, since it is smaller than the sum of its proper divisors (16181330592).

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

8059811424 is a wasteful number, since it uses less digits than its factorization.

8059811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30628 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 8059811424 is about 89776.4525028696. The cubic root of 8059811424 is about 2004.9719151212.

The spelling of 8059811424 in words is "eight billion, fifty-nine million, eight hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 1191 1588 2382 2779 3176 4764 5558 6352 8337 9528 11116 12704 16674 19056 22232 30211 33348 38112 44464 60422 66696 88928 90633 120844 133392 181266 211477 241688 266784 362532 422954 483376 634431 725064 845908 966752 1268862 1450128 1691816 2537724 2900256 3383632 5075448 6767264 10150896 11993767 20301792 23987534 35981301 47975068 71962602 83956369 95950136 143925204 167912738 191900272 251869107 287850408 335825476 383800544 503738214 575700816 671650952 1007476428 1151401632 1343301904 2014952856 2686603808 4029905712 8059811424