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75026672 = 2471813701
BaseRepresentation
bin1000111100011…
…01000011110000
312020011202020122
410132031003300
5123201323142
611240025412
71600500440
oct436150360
9166152218
1075026672
1139394716
1221162268
131270b7a6
149d70120
1568c01d2
hex478d0f0

75026672 has 40 divisors (see below), whose sum is σ = 167093472. Its totient is φ = 31968000.

The previous prime is 75026671. The next prime is 75026681. The reversal of 75026672 is 27662057.

It is a happy number.

It is a super-2 number, since 2×750266722 = 11258003022791168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75026671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18422 + ... + 22122.

Almost surely, 275026672 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 75026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83546736).

75026672 is an abundant number, since it is smaller than the sum of its proper divisors (92066800).

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

75026672 is a wasteful number, since it uses less digits than its factorization.

75026672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 75026672 is about 8661.7938095986. The cubic root of 75026672 is about 421.7663179172.

The spelling of 75026672 in words is "seventy-five million, twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 3701 5068 7402 10136 14804 20272 25907 29608 51814 59216 103628 207256 414512 669881 1339762 2679524 4689167 5359048 9378334 10718096 18756668 37513336 75026672