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42050464 = 2529113401
BaseRepresentation
bin1010000001101…
…0001110100000
32221010101101121
42200122032200
541231103324
64101142024
71020265051
oct240321640
987111347
1042050464
1121811155
12120ba914
138933c41
145828728
153a595e4
hex281a3a0

42050464 has 48 divisors (see below), whose sum is σ = 86614920. Its totient is φ = 20070400.

The previous prime is 42050447. The next prime is 42050479. The reversal of 42050464 is 46405024.

It can be written as a sum of positive squares in 4 ways, for example, as 36723600 + 5326864 = 6060^2 + 2308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104664 + ... + 105064.

Almost surely, 242050464 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 42050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43307460).

42050464 is an abundant number, since it is smaller than the sum of its proper divisors (44564456).

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

42050464 is a wasteful number, since it uses less digits than its factorization.

42050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42050464 is about 6484.6329117383. The cubic root of 42050464 is about 347.7418263939.

Adding to 42050464 its reverse (46405024), we get a palindrome (88455488).

The spelling of 42050464 in words is "forty-two million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 113 116 226 232 401 452 464 802 904 928 1604 1808 3208 3277 3616 6416 6554 11629 12832 13108 23258 26216 45313 46516 52432 90626 93032 104864 181252 186064 362504 372128 725008 1314077 1450016 2628154 5256308 10512616 21025232 42050464