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42976300 = 2252716053
BaseRepresentation
bin1010001111110…
…0010000101100
32222212102101211
42203330100230
542000220200
64133044204
71031202223
oct243742054
988772354
1042976300
1122293804
1212486664
138b99483
1459c9cba
153b8daba
hex28fc42c

42976300 has 36 divisors (see below), whose sum is σ = 94587696. Its totient is φ = 16945600.

The previous prime is 42976291. The next prime is 42976301. The reversal of 42976300 is 367924.

It is not an unprimeable number, because it can be changed into a prime (42976301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4074 + ... + 10126.

It is an arithmetic number, because the mean of its divisors is an integer number (2627436).

Almost surely, 242976300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42976300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47293848).

42976300 is an abundant number, since it is smaller than the sum of its proper divisors (51611396).

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

42976300 is a wasteful number, since it uses less digits than its factorization.

42976300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 42976300 is about 6555.6311671722. The cubic root of 42976300 is about 350.2754294548.

It can be divided in two parts, 429 and 76300, that added together give a square (76729 = 2772).

The spelling of 42976300 in words is "forty-two million, nine hundred seventy-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 6053 7100 12106 24212 30265 60530 121060 151325 302650 429763 605300 859526 1719052 2148815 4297630 8595260 10744075 21488150 42976300