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500104400 = 24523121301
BaseRepresentation
bin11101110011101…
…111110011010000
31021212000221021012
4131303233303100
52011011320100
6121342550052
715251550215
oct3563576320
91255027235
10500104400
11237328924
1211b598328
137c7c0783
144a5c1b0c
152dd89135
hex1dcefcd0

500104400 has 90 divisors (see below), whose sum is σ = 1242463446. Its totient is φ = 193440000.

The previous prime is 500104373. The next prime is 500104427. The reversal of 500104400 is 4401005.

It is an interprime number because it is at equal distance from previous prime (500104373) and next prime (500104427).

It can be written as a sum of positive squares in 3 ways, for example, as 7441984 + 492662416 = 2728^2 + 22196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 383750 + ... + 385050.

Almost surely, 2500104400 is an apocalyptic number.

500104400 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 500104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621231723).

500104400 is an abundant number, since it is smaller than the sum of its proper divisors (742359046).

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

500104400 is a wasteful number, since it uses less digits than its factorization.

500104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 500104400 is about 22363.0141081206. The cubic root of 500104400 is about 793.7557636963.

Adding to 500104400 its reverse (4401005), we get a palindrome (504505405).

The spelling of 500104400 in words is "five hundred million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 961 1240 1301 1550 1922 2480 2602 3100 3844 4805 5204 6200 6505 7688 9610 10408 12400 13010 15376 19220 20816 24025 26020 32525 38440 40331 48050 52040 65050 76880 80662 96100 104080 130100 161324 192200 201655 260200 322648 384400 403310 520400 645296 806620 1008275 1250261 1613240 2016550 2500522 3226480 4033100 5001044 6251305 8066200 10002088 12502610 16132400 20004176 25005220 31256525 50010440 62513050 100020880 125026100 250052200 500104400