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75070008 = 233213139577
BaseRepresentation
bin1000111100101…
…11101000111000
312020020221200200
410132113220320
5123204220013
611241002200
71601040666
oct436275070
9166227620
1075070008
1139414232
1221183360
1312725430
149d81c36
1568cce73
hex4797a38

75070008 has 96 divisors (see below), whose sum is σ = 220911600. Its totient is φ = 22892544.

The previous prime is 75070001. The next prime is 75070013. The reversal of 75070008 is 80007057.

It is a super-2 number, since 2×750700082 = 11271012202240128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75070001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129816 + ... + 130392.

Almost surely, 275070008 is an apocalyptic number.

75070008 is a gapful number since it is divisible by the number (78) 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 75070008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110455800).

75070008 is an abundant number, since it is smaller than the sum of its proper divisors (145841592).

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

75070008 is a wasteful number, since it uses less digits than its factorization.

75070008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75070008 is about 8664.2950088279. The cubic root of 75070008 is about 421.8475074759.

The spelling of 75070008 in words is "seventy-five million, seventy thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 139 156 234 278 312 417 468 556 577 834 936 1112 1154 1251 1668 1731 1807 2308 2502 3336 3462 3614 4616 5004 5193 5421 6924 7228 7501 10008 10386 10842 13848 14456 15002 16263 20772 21684 22503 30004 32526 41544 43368 45006 60008 65052 67509 80203 90012 130104 135018 160406 180024 240609 270036 320812 481218 540072 641624 721827 962436 1042639 1443654 1924872 2085278 2887308 3127917 4170556 5774616 6255834 8341112 9383751 12511668 18767502 25023336 37535004 75070008