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5042032400 = 2452234113367
BaseRepresentation
bin1001011001000011…
…10100111100010000
3111000101110210011202
410230201310330100
540311230014100
62152152130332
7235642365626
oct45441647420
914011423152
105042032400
112158106629
12b886969a8
13624787532
1435b8c3516
151e79aa7d5
hex12c874f10

5042032400 has 120 divisors (see below), whose sum is σ = 12949421184. Its totient is φ = 1881932800.

The previous prime is 5042032399. The next prime is 5042032403. The reversal of 5042032400 is 42302405.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5042032403) 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, 370517 + ... + 383883.

Almost surely, 25042032400 is an apocalyptic number.

5042032400 is a gapful number since it is divisible by the number (50) 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 5042032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474710592).

5042032400 is an abundant number, since it is smaller than the sum of its proper divisors (7907388784).

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

5042032400 is a wasteful number, since it uses less digits than its factorization.

5042032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5042032400 is about 71007.2700503265. The cubic root of 5042032400 is about 1714.7542083301.

Adding to 5042032400 its reverse (42302405), we get a palindrome (5084334805).

The spelling of 5042032400 in words is "five billion, forty-two million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 164 184 200 205 230 328 368 400 410 460 575 656 820 920 943 1025 1150 1640 1840 1886 2050 2300 3280 3772 4100 4600 4715 7544 8200 9200 9430 13367 15088 16400 18860 23575 26734 37720 47150 53468 66835 75440 94300 106936 133670 188600 213872 267340 307441 334175 377200 534680 548047 614882 668350 1069360 1096094 1229764 1336700 1537205 2192188 2459528 2673400 2740235 3074410 4384376 4919056 5346800 5480470 6148820 7686025 8768752 10960940 12297640 12605081 13701175 15372050 21921880 24595280 25210162 27402350 30744100 43843760 50420324 54804700 61488200 63025405 100840648 109609400 122976400 126050810 201681296 219218800 252101620 315127025 504203240 630254050 1008406480 1260508100 2521016200 5042032400