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76425000 = 233551019
BaseRepresentation
bin1001000111000…
…10011100101000
312022210210101120
410203202130220
5124031100000
611330015240
71615413261
oct443423450
9168723346
1076425000
113a15a263
1221717520
1312aab0c2
14a215968
156a996a0
hex48e2728

76425000 has 96 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 20360000.

The previous prime is 76424987. The next prime is 76425043. The reversal of 76425000 is 52467.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 74491 + ... + 75509.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 276425000 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 76425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

76425000 is an abundant number, since it is smaller than the sum of its proper divisors (162622200).

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

76425000 is a wasteful number, since it uses less digits than its factorization.

76425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 76425000 is about 8742.1393262748. The cubic root of 76425000 is about 424.3704635690.

Adding to 76425000 its reverse (52467), we get a palindrome (76477467).

The spelling of 76425000 in words is "seventy-six million, four hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1019 1250 1500 1875 2038 2500 3000 3057 3125 3750 4076 5000 5095 6114 6250 7500 8152 9375 10190 12228 12500 15000 15285 18750 20380 24456 25000 25475 30570 37500 40760 50950 61140 75000 76425 101900 122280 127375 152850 203800 254750 305700 382125 509500 611400 636875 764250 1019000 1273750 1528500 1910625 2547500 3057000 3184375 3821250 5095000 6368750 7642500 9553125 12737500 15285000 19106250 25475000 38212500 76425000