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52331100 = 223521731331
BaseRepresentation
bin1100011110100…
…0001001011100
310122110200202220
43013220021130
5101344043400
65105345340
71203543543
oct307501134
9118420686
1052331100
11275a3148
1215638250
13aac3463
146d4315a
1548da7a0
hex31e825c

52331100 has 144 divisors (see below), whose sum is σ = 165989376. Its totient is φ = 12672000.

The previous prime is 52331099. The next prime is 52331113. The reversal of 52331100 is 113325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52331100.

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, 157935 + ... + 158265.

It is an arithmetic number, because the mean of its divisors is an integer number (1152704).

Almost surely, 252331100 is an apocalyptic number.

52331100 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 52331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688).

52331100 is an abundant number, since it is smaller than the sum of its proper divisors (113658276).

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

52331100 is a wasteful number, since it uses less digits than its factorization.

52331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 52331100 is about 7234.0237765714. The cubic root of 52331100 is about 374.0416417740.

Adding to 52331100 its reverse (113325), we get a palindrome (52444425).

The spelling of 52331100 in words is "fifty-two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 331 340 372 425 465 510 527 620 662 775 850 930 993 1020 1054 1275 1324 1550 1581 1655 1700 1860 1986 2108 2325 2550 2635 3100 3162 3310 3972 4650 4965 5100 5270 5627 6324 6620 7905 8275 9300 9930 10261 10540 11254 13175 15810 16550 16881 19860 20522 22508 24825 26350 28135 30783 31620 33100 33762 39525 41044 49650 51305 52700 56270 61566 67524 79050 84405 99300 102610 112540 123132 140675 153915 158100 168810 174437 205220 256525 281350 307830 337620 348874 422025 513050 523311 562700 615660 697748 769575 844050 872185 1026100 1046622 1539150 1688100 1744370 2093244 2616555 3078300 3488740 4360925 5233110 8721850 10466220 13082775 17443700 26165550 52331100