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523228400 = 24521498779
BaseRepresentation
bin11111001011111…
…101010011110000
31100110112202102122
4133023331103300
52032421302100
6123530333412
715652240142
oct3713752360
91313482378
10523228400
11249392272
1212728a268
1384528b06
144d6c0c92
1530e05985
hex1f2fd4f0

523228400 has 60 divisors (see below), whose sum is σ = 1265637000. Its totient is φ = 207863040.

The previous prime is 523228399. The next prime is 523228421. The reversal of 523228400 is 4822325.

It is a self number, because there is not a number n which added to its sum of digits gives 523228400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55211 + ... + 63989.

It is an arithmetic number, because the mean of its divisors is an integer number (21093950).

Almost surely, 2523228400 is an apocalyptic number.

523228400 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 523228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632818500).

523228400 is an abundant number, since it is smaller than the sum of its proper divisors (742408600).

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

523228400 is a wasteful number, since it uses less digits than its factorization.

523228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 523228400 is about 22874.1863243264. The cubic root of 523228400 is about 805.8058876551.

The spelling of 523228400 in words is "five hundred twenty-three million, two hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 8779 11920 14900 17558 29800 35116 43895 59600 70232 87790 140464 175580 219475 351160 438950 702320 877900 1308071 1755800 2616142 3511600 5232284 6540355 10464568 13080710 20929136 26161420 32701775 52322840 65403550 104645680 130807100 261614200 523228400