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75450000 = 24355503
BaseRepresentation
bin1000111111101…
…00011010010000
312020222020221110
410133310122100
5123303400000
611253053320
71604212563
oct437643220
9166866843
1075450000
113965377a
1221327240
1312829392
14a0404da
156955850
hex47f4690

75450000 has 120 divisors (see below), whose sum is σ = 244109376. Its totient is φ = 20080000.

The previous prime is 75449989. The next prime is 75450041. The reversal of 75450000 is 5457.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149749 + ... + 150251.

Almost surely, 275450000 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 75450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122054688).

75450000 is an abundant number, since it is smaller than the sum of its proper divisors (168659376).

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

75450000 is an equidigital number, since it uses as much as digits as its factorization.

75450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75450000 is about 8686.1959452916. The cubic root of 75450000 is about 422.5580840513.

Adding to 75450000 its reverse (5457), we get a palindrome (75455457).

The spelling of 75450000 in words is "seventy-five million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 503 600 625 750 1000 1006 1200 1250 1500 1509 1875 2000 2012 2500 2515 3000 3018 3125 3750 4024 5000 5030 6000 6036 6250 7500 7545 8048 9375 10000 10060 12072 12500 12575 15000 15090 18750 20120 24144 25000 25150 30000 30180 37500 37725 40240 50000 50300 60360 62875 75000 75450 100600 120720 125750 150000 150900 188625 201200 251500 301800 314375 377250 503000 603600 628750 754500 943125 1006000 1257500 1509000 1571875 1886250 2515000 3018000 3143750 3772500 4715625 5030000 6287500 7545000 9431250 12575000 15090000 18862500 25150000 37725000 75450000