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75950 = 2527231
BaseRepresentation
bin10010100010101110
310212011222
4102202232
54412300
61343342
7434300
oct224256
9125158
1075950
1152076
1237b52
1328754
141d970
1517785
hex128ae

75950 has 36 divisors (see below), whose sum is σ = 169632. Its totient is φ = 25200.

The previous prime is 75941. The next prime is 75967. The reversal of 75950 is 5957.

It can be divided in two parts, 759 and 50, that multiplied together give a triangular number (37950 = T275).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2435 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

275950 is an apocalyptic number.

75950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75950 is an abundant number, since it is smaller than the sum of its proper divisors (93682).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

75950 is a wasteful number, since it uses less digits than its factorization.

75950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 75950 is about 275.5902755904. The cubic root of 75950 is about 42.3489447179.

The spelling of 75950 in words is "seventy-five thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 14 25 31 35 49 50 62 70 98 155 175 217 245 310 350 434 490 775 1085 1225 1519 1550 2170 2450 3038 5425 7595 10850 15190 37975 75950