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75000048 = 24312011301
BaseRepresentation
bin1000111100001…
…10100011110000
312020010101201120
410132012203300
5123200000143
611235302240
71600330014
oct436064360
9166111646
1075000048
1139376712
122114a980
13126cc636
149d64544
1568b7383
hex47868f0

75000048 has 40 divisors (see below), whose sum is σ = 194060496. Its totient is φ = 24960000.

The previous prime is 75000047. The next prime is 75000071. The reversal of 75000048 is 84000057.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 74999991 and 75000027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75000047) 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, 56998 + ... + 58298.

Almost surely, 275000048 is an apocalyptic number.

It is an amenable number.

75000048 is an abundant number, since it is smaller than the sum of its proper divisors (119060448).

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

75000048 is a wasteful number, since it uses less digits than its factorization.

75000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 75000048 is about 8660.2568091252. The cubic root of 75000048 is about 421.7164226170.

Subtracting 75000048 from its reverse (84000057), we obtain a palindrome (9000009).

It can be divided in two parts, 750000 and 48, that multiplied together give a square (36000000 = 60002).

The spelling of 75000048 in words is "seventy-five million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1201 1301 2402 2602 3603 3903 4804 5204 7206 7806 9608 10408 14412 15612 19216 20816 28824 31224 57648 62448 1562501 3125002 4687503 6250004 9375006 12500008 18750012 25000016 37500024 75000048