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52279100 = 2252412311
BaseRepresentation
bin1100011101101…
…1011100111100
310122101001102222
43013123130330
5101340412400
65104304512
71203236126
oct307333474
9118331388
1052279100
1127568075
1215612138
13aaa58a3
146d2c216
1548ca185
hex31db73c

52279100 has 54 divisors (see below), whose sum is σ = 116653992. Its totient is φ = 20336000.

The previous prime is 52279081. The next prime is 52279109. The reversal of 52279100 is 197225.

It is a self number, because there is not a number n which added to its sum of digits gives 52279100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52279109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167945 + ... + 168255.

Almost surely, 252279100 is an apocalyptic number.

52279100 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 52279100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58326996).

52279100 is an abundant number, since it is smaller than the sum of its proper divisors (64374892).

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

52279100 is a wasteful number, since it uses less digits than its factorization.

52279100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 52279100 is about 7230.4287563048. The cubic root of 52279100 is about 373.9177090246.

The spelling of 52279100 in words is "fifty-two million, two hundred seventy-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 311 410 622 820 1025 1244 1555 1681 2050 3110 3362 4100 6220 6724 7775 8405 12751 15550 16810 25502 31100 33620 42025 51004 63755 84050 127510 168100 255020 318775 522791 637550 1045582 1275100 2091164 2613955 5227910 10455820 13069775 26139550 52279100