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76050 = 23252132
BaseRepresentation
bin10010100100010010
310212022200
4102210102
54413200
61344030
7434502
oct224422
9125280
1076050
1152157
1238016
1328800
141da02
1517800
hex12912

76050 has 54 divisors (see below), whose sum is σ = 221247. Its totient is φ = 18720.

The previous prime is 76039. The next prime is 76079. The reversal of 76050 is 5067.

76050 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 5 ways, for example, as 4761 + 71289 = 69^2 + 267^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=195.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76050.

It is an unprimeable number.

76050 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5844 + ... + 5856.

276050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76050

76050 is an abundant number, since it is smaller than the sum of its proper divisors (145197).

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

76050 is a wasteful number, since it uses less digits than its factorization.

76050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 76050 is about 275.7716446628. The cubic root of 76050 is about 42.3675228930.

Multiplying 76050 by its sum of digits (18), we get a square (1368900 = 11702).

76050 divided by its sum of digits (18) gives a square (4225 = 652).

The spelling of 76050 in words is "seventy-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 169 195 225 234 325 338 390 450 507 585 650 845 975 1014 1170 1521 1690 1950 2535 2925 3042 4225 5070 5850 7605 8450 12675 15210 25350 38025 76050