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42037440 = 263543789
BaseRepresentation
bin1010000001011…
…1000011000000
32221002201112020
42200113003000
541230144230
64101001440
71020212064
oct240270300
987081466
1042037440
1121802395
12120b3280
13892b033
145823aa4
153a55810
hex28170c0

42037440 has 56 divisors (see below), whose sum is σ = 133471920. Its totient is φ = 11209728.

The previous prime is 42037409. The next prime is 42037451. The reversal of 42037440 is 4473024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42037440.

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, 20935 + ... + 22854.

Almost surely, 242037440 is an apocalyptic number.

42037440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42037440 is an abundant number, since it is smaller than the sum of its proper divisors (91434480).

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

42037440 is a wasteful number, since it uses less digits than its factorization.

42037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43809 (or 43799 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42037440 is about 6483.6286136700. The cubic root of 42037440 is about 347.7059214615.

The spelling of 42037440 in words is "forty-two million, thirty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 43789 87578 131367 175156 218945 262734 350312 437890 525468 656835 700624 875780 1050936 1313670 1401248 1751560 2101872 2627340 2802496 3503120 4203744 5254680 7006240 8407488 10509360 14012480 21018720 42037440