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52490100 = 223521343313
BaseRepresentation
bin1100100000111…
…0111101110100
310122202202212210
43020032331310
5101414140400
65113013420
71205105235
oct310167564
9118682783
1052490100
11276a1653
12156b4270
13ab4a940
146d8508c
15491c950
hex320ef74

52490100 has 144 divisors (see below), whose sum is σ = 167892032. Its totient is φ = 12579840.

The previous prime is 52490077. The next prime is 52490111. The reversal of 52490100 is 109425.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167544 + ... + 167856.

Almost surely, 252490100 is an apocalyptic number.

52490100 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 52490100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83946016).

52490100 is an abundant number, since it is smaller than the sum of its proper divisors (115401932).

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

52490100 is a wasteful number, since it uses less digits than its factorization.

52490100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 52490100 is about 7245.0051759816. The cubic root of 52490100 is about 374.4200814253.

Adding to 52490100 its reverse (109425), we get a palindrome (52599525).

The spelling of 52490100 in words is "fifty-two million, four hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 172 195 215 258 260 300 313 325 390 430 516 559 626 645 650 780 860 939 975 1075 1118 1252 1290 1300 1565 1677 1878 1950 2150 2236 2580 2795 3130 3225 3354 3756 3900 4069 4300 4695 5590 6260 6450 6708 7825 8138 8385 9390 11180 12207 12900 13459 13975 15650 16276 16770 18780 20345 23475 24414 26918 27950 31300 33540 40377 40690 41925 46950 48828 53836 55900 61035 67295 80754 81380 83850 93900 101725 122070 134590 161508 167700 174967 201885 203450 244140 269180 305175 336475 349934 403770 406900 524901 610350 672950 699868 807540 874835 1009425 1049802 1220700 1345900 1749670 2018850 2099604 2624505 3499340 4037700 4374175 5249010 8748350 10498020 13122525 17496700 26245050 52490100