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42835440 = 2435178481
BaseRepresentation
bin1010001101100…
…1110111110000
32222121021011210
42203121313300
541431213230
64130040120
71030044444
oct243316760
988537153
1042835440
11221a799a
1212419040
138b4a31b
145990824
153b61eb0
hex28d9df0

42835440 has 40 divisors (see below), whose sum is σ = 132790608. Its totient is φ = 11422720.

The previous prime is 42835423. The next prime is 42835489. The reversal of 42835440 is 4453824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42835398 and 42835407.

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, 89001 + ... + 89480.

Almost surely, 242835440 is an apocalyptic number.

42835440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42835440 is an abundant number, since it is smaller than the sum of its proper divisors (89955168).

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

42835440 is a wasteful number, since it uses less digits than its factorization.

42835440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178497 (or 178491 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42835440 is about 6544.8789140824. The cubic root of 42835440 is about 349.8923206168.

The spelling of 42835440 in words is "forty-two million, eight hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178481 356962 535443 713924 892405 1070886 1427848 1784810 2141772 2677215 2855696 3569620 4283544 5354430 7139240 8567088 10708860 14278480 21417720 42835440