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4057042200 = 2335224128057
BaseRepresentation
bin1111000111010001…
…1000110100011000
3101110202001002122020
43301310120310120
531302100322300
61510324254440
7202352201241
oct36164306430
911422032566
104057042200
1117a2104942
12952841420
134c86a42b3
142a6b61cc8
1518b2918a0
hexf1d18d18

4057042200 has 96 divisors (see below), whose sum is σ = 12629466960. Its totient is φ = 1077350400.

The previous prime is 4057042189. The next prime is 4057042201. The reversal of 4057042200 is 22407504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057042201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130572 + ... + 158628.

Almost surely, 24057042200 is an apocalyptic number.

4057042200 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 4057042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314733480).

4057042200 is an abundant number, since it is smaller than the sum of its proper divisors (8572424760).

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

4057042200 is a wasteful number, since it uses less digits than its factorization.

4057042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28317 (or 28308 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4057042200 is about 63694.9150246705. The cubic root of 4057042200 is about 1594.9112020349.

Adding to 4057042200 its reverse (22407504), we get a palindrome (4079449704).

The spelling of 4057042200 in words is "four billion, fifty-seven million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28057 28920 36150 48200 56114 72300 84171 112228 140285 144600 168342 224456 280570 336684 420855 561140 673368 701425 841710 1122280 1402850 1683420 2104275 2805700 3366840 4208550 5611400 6761737 8417100 13523474 16834200 20285211 27046948 33808685 40570422 54093896 67617370 81140844 101426055 135234740 162281688 169043425 202852110 270469480 338086850 405704220 507130275 676173700 811408440 1014260550 1352347400 2028521100 4057042200