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42045949 = 1137103307
BaseRepresentation
bin1010000001100…
…1000111111101
32221010011012101
42200121013331
541230432244
64101105101
71020245641
oct240310775
987104171
1042045949
1121808820
12120b8191
138931b7a
145826c21
153a580d4
hex28191fd

42045949 has 8 divisors (see below), whose sum is σ = 47108448. Its totient is φ = 37190160.

The previous prime is 42045943. The next prime is 42045953. The reversal of 42045949 is 94954024.

It is a happy number.

42045949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42045949 - 27 = 42045821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045943) by changing a digit.

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, 51247 + ... + 52060.

It is an arithmetic number, because the mean of its divisors is an integer number (5888556).

Almost surely, 242045949 is an apocalyptic number.

It is an amenable number.

42045949 is a deficient number, since it is larger than the sum of its proper divisors (5062499).

42045949 is a wasteful number, since it uses less digits than its factorization.

42045949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103355.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 42045949 is about 6484.2847716614. The cubic root of 42045949 is about 347.7293801536.

It can be divided in two parts, 4204 and 5949, that added together give a triangular number (10153 = T142).

The spelling of 42045949 in words is "forty-two million, forty-five thousand, nine hundred forty-nine".

Divisors: 1 11 37 407 103307 1136377 3822359 42045949