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4252452000 = 25353354371
BaseRepresentation
bin1111110101110111…
…0100010010100000
3101222100201221111020
43331131310102200
532202111431000
61541544445440
7210244150146
oct37535642240
911870657436
104252452000
111892442145
129a8179880
1352a0121b4
142c4aab596
1519d4e0ba0
hexfd7744a0

4252452000 has 96 divisors (see below), whose sum is σ = 13931072064. Its totient is φ = 1133984000.

The previous prime is 4252451999. The next prime is 4252452013. The reversal of 4252452000 is 2542524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165186 + ... + 189185.

It is an arithmetic number, because the mean of its divisors is an integer number (145115334).

Almost surely, 24252452000 is an apocalyptic number.

4252452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4252452000 is an abundant number, since it is smaller than the sum of its proper divisors (9678620064).

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

4252452000 is a wasteful number, since it uses less digits than its factorization.

4252452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354399 (or 354381 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 4252452000 is about 65210.8273218489. The cubic root of 4252452000 is about 1620.1173516574.

Adding to 4252452000 its reverse (2542524), we get a palindrome (4254994524).

The spelling of 4252452000 in words is "four billion, two hundred fifty-two million, four hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 354371 708742 1063113 1417484 1771855 2126226 2834968 3543710 4252452 5315565 5669936 7087420 8504904 8859275 10631130 11339872 14174840 17009808 17718550 21262260 26577825 28349680 34019616 35437100 42524520 44296375 53155650 56699360 70874200 85049040 88592750 106311300 132889125 141748400 170098080 177185500 212622600 265778250 283496800 354371000 425245200 531556500 708742000 850490400 1063113000 1417484000 2126226000 4252452000