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42950007 = 351737281
BaseRepresentation
bin1010001111010…
…1110101110111
32222211002100000
42203311311313
541443400012
64132322343
71031032452
oct243656567
988732300
1042950007
1122275a81
12124733b3
138b8a509
1459c0499
153b85ddc
hex28f5d77

42950007 has 48 divisors (see below), whose sum is σ = 70211232. Its totient is φ = 26127360.

The previous prime is 42949997. The next prime is 42950021. The reversal of 42950007 is 70005924.

It is not a de Polignac number, because 42950007 - 26 = 42949943 is a prime.

It is a super-3 number, since 3×429500073 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42950107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152707 + ... + 152987.

It is an arithmetic number, because the mean of its divisors is an integer number (1462734).

Almost surely, 242950007 is an apocalyptic number.

42950007 is a deficient number, since it is larger than the sum of its proper divisors (27261225).

42950007 is a wasteful number, since it uses less digits than its factorization.

42950007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 42950007 is about 6553.6254851799. The cubic root of 42950007 is about 350.2039817756.

The spelling of 42950007 in words is "forty-two million, nine hundred fifty thousand, seven".

Divisors: 1 3 9 17 27 37 51 81 111 153 243 281 333 459 629 843 999 1377 1887 2529 2997 4131 4777 5661 7587 8991 10397 14331 16983 22761 31191 42993 50949 68283 93573 128979 152847 176749 280719 386937 530247 842157 1160811 1590741 2526471 4772223 14316669 42950007