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76280000 = 26541907
BaseRepresentation
bin1001000101111…
…11000011000000
312022112102111012
410202333003000
5124011430000
611322540052
71614240446
oct442770300
9168472435
1076280000
113a070325
1221667628
1312a5a0c4
14a1b8b96
156a6b735
hex48bf0c0

76280000 has 70 divisors (see below), whose sum is σ = 189248796. Its totient is φ = 30496000.

The previous prime is 76279997. The next prime is 76280033. The reversal of 76280000 is 8267.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39047 + ... + 40953.

Almost surely, 276280000 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 76280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94624398).

76280000 is an abundant number, since it is smaller than the sum of its proper divisors (112968796).

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

76280000 is an equidigital number, since it uses as much as digits as its factorization.

76280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 76280000 is about 8733.8422243592. The cubic root of 76280000 is about 424.1019097626.

Adding to 76280000 its reverse (8267), we get a palindrome (76288267).

The spelling of 76280000 in words is "seventy-six million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1907 2000 2500 3814 4000 5000 7628 8000 9535 10000 15256 19070 20000 30512 38140 40000 47675 61024 76280 95350 122048 152560 190700 238375 305120 381400 476750 610240 762800 953500 1191875 1525600 1907000 2383750 3051200 3814000 4767500 7628000 9535000 15256000 19070000 38140000 76280000