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38242240 = 265127941
BaseRepresentation
bin1001000111100…
…0011111000000
32122221220111021
42101320133000
534242222430
63443355224
7643024261
oct221703700
978856437
1038242240
111a64aa63
1210982b14
137bcc75a
145116968
15355607a
hex24787c0

38242240 has 56 divisors (see below), whose sum is σ = 91878912. Its totient is φ = 15160320.

The previous prime is 38242219. The next prime is 38242247. The reversal of 38242240 is 4224283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38242247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40170 + ... + 41110.

Almost surely, 238242240 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 38242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45939456).

38242240 is an abundant number, since it is smaller than the sum of its proper divisors (53636672).

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

38242240 is a wasteful number, since it uses less digits than its factorization.

38242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 38242240 is about 6184.0310477875. The cubic root of 38242240 is about 336.9104182995.

The spelling of 38242240 in words is "thirty-eight million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 941 1016 1270 1882 2032 2540 3764 4064 4705 5080 7528 8128 9410 10160 15056 18820 20320 30112 37640 40640 60224 75280 119507 150560 239014 301120 478028 597535 956056 1195070 1912112 2390140 3824224 4780280 7648448 9560560 19121120 38242240