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42653400 = 2335271089
BaseRepresentation
bin1010001010110…
…1011011011000
32222021000110120
42202231123120
541404402100
64122113240
71025355636
oct242553330
988230416
1042653400
1122093149
121234b820
138ab54ca
145944356
153b280a0
hex28ad6d8

42653400 has 48 divisors (see below), whose sum is σ = 132227400. Its totient is φ = 11374080.

The previous prime is 42653381. The next prime is 42653417. The reversal of 42653400 is 435624.

42653400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34945 + ... + 36144.

Almost surely, 242653400 is an apocalyptic number.

42653400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42653400 is an abundant number, since it is smaller than the sum of its proper divisors (89574000).

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

42653400 is a wasteful number, since it uses less digits than its factorization.

42653400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71108 (or 71099 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42653400 is about 6530.9570508464. The cubic root of 42653400 is about 349.3959649500.

The spelling of 42653400 in words is "forty-two million, six hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 71089 142178 213267 284356 355445 426534 568712 710890 853068 1066335 1421780 1706136 1777225 2132670 2843560 3554450 4265340 5331675 7108900 8530680 10663350 14217800 21326700 42653400