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42038972 = 2289263449
BaseRepresentation
bin1010000001011…
…1011010111100
32221002210121222
42200113122330
541230221342
64101012512
71020216413
oct240273274
987083558
1042038972
1121803558
12120b4138
13892b941
14582447a
153a55ed2
hex28176bc

42038972 has 24 divisors (see below), whose sum is σ = 74844000. Its totient is φ = 20658176.

The previous prime is 42038957. The next prime is 42038987. The reversal of 42038972 is 27983024.

42038972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42038957) and next prime (42038987).

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 7 ways as a sum of consecutive naturals, for example, 93404 + ... + 93852.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 242038972 is an apocalyptic number.

It is an amenable number.

42038972 is a deficient number, since it is larger than the sum of its proper divisors (32805028).

42038972 is a wasteful number, since it uses less digits than its factorization.

42038972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 42038972 is about 6483.7467563131. The cubic root of 42038972 is about 347.7101453074.

The spelling of 42038972 in words is "forty-two million, thirty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 89 178 263 356 449 526 898 1052 1796 23407 39961 46814 79922 93628 118087 159844 236174 472348 10509743 21019486 42038972