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4149955000 = 23541748823
BaseRepresentation
bin1111011101011011…
…0100100110111000
3101201012212120001001
43313112310212320
531444342030000
61523443534344
7204561015112
oct36726644670
911635776031
104149955000
11183a5a5684
1297998a3b4
13511a05c99
142b522a3b2
151944e646a
hexf75b49b8

4149955000 has 80 divisors (see below), whose sum is σ = 10295516880. Its totient is φ = 1562304000.

The previous prime is 4149954979. The next prime is 4149955001. The reversal of 4149955000 is 5599414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149955001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60589 + ... + 109411.

It is an arithmetic number, because the mean of its divisors is an integer number (128693961).

Almost surely, 24149955000 is an apocalyptic number.

4149955000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147758440).

4149955000 is an abundant number, since it is smaller than the sum of its proper divisors (6145561880).

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

4149955000 is a wasteful number, since it uses less digits than its factorization.

4149955000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48866 (or 48847 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 4149955000 is about 64420.1443649422. The cubic root of 4149955000 is about 1606.9947668367.

The spelling of 4149955000 in words is "four billion, one hundred forty-nine million, nine hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3400 4250 5000 8500 10625 17000 21250 42500 48823 85000 97646 195292 244115 390584 488230 829991 976460 1220575 1659982 1952920 2441150 3319964 4149955 4882300 6102875 6639928 8299910 9764600 12205750 16599820 20749775 24411500 30514375 33199640 41499550 48823000 61028750 82999100 103748875 122057500 165998200 207497750 244115000 414995500 518744375 829991000 1037488750 2074977500 4149955000