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4125252000 = 25353343771
BaseRepresentation
bin1111010111100010…
…0101100110100000
3101122111101111220010
43311320211212200
531422031031000
61521202244520
7204141030522
oct36570454640
911574344803
104125252000
111827662981
12971656740
1350986701c
142b1c39a12
15192266d50
hexf5e259a0

4125252000 has 96 divisors (see below), whose sum is σ = 13514364864. Its totient is φ = 1100064000.

The previous prime is 4125251969. The next prime is 4125252049. The reversal of 4125252000 is 2525214.

It is a happy number.

4125252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159886 + ... + 183885.

It is an arithmetic number, because the mean of its divisors is an integer number (140774634).

Almost surely, 24125252000 is an apocalyptic number.

4125252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4125252000 is an abundant number, since it is smaller than the sum of its proper divisors (9389112864).

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

4125252000 is a wasteful number, since it uses less digits than its factorization.

4125252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343799 (or 343781 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4125252000 is about 64228.1246807035. The cubic root of 4125252000 is about 1603.7998228642.

Adding to 4125252000 its reverse (2525214), we get a palindrome (4127777214).

The spelling of 4125252000 in words is "four billion, one hundred twenty-five million, two 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 343771 687542 1031313 1375084 1718855 2062626 2750168 3437710 4125252 5156565 5500336 6875420 8250504 8594275 10313130 11000672 13750840 16501008 17188550 20626260 25782825 27501680 33002016 34377100 41252520 42971375 51565650 55003360 68754200 82505040 85942750 103131300 128914125 137508400 165010080 171885500 206262600 257828250 275016800 343771000 412525200 515656500 687542000 825050400 1031313000 1375084000 2062626000 4125252000