Search a number
-
+
42015807 = 337321317
BaseRepresentation
bin1010000001000…
…1110000111111
32221001121212000
42200101300333
541224001212
64100313343
71020062031
oct240216077
987047760
1042015807
1121798109
12120a2853
138921232
145819c51
153a4e1dc
hex2811c3f

42015807 has 16 divisors (see below), whose sum is σ = 63101280. Its totient is φ = 27625536.

The previous prime is 42015793. The next prime is 42015851. The reversal of 42015807 is 70851024.

It is not a de Polignac number, because 42015807 - 210 = 42014783 is a prime.

It is a super-2 number, since 2×420158072 = 3530656075722498, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (42015877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8688 + ... + 12629.

It is an arithmetic number, because the mean of its divisors is an integer number (3943830).

Almost surely, 242015807 is an apocalyptic number.

42015807 is a deficient number, since it is larger than the sum of its proper divisors (21085473).

42015807 is a wasteful number, since it uses less digits than its factorization.

42015807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21399 (or 21393 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42015807 is about 6481.9601202106. The cubic root of 42015807 is about 347.6462666010.

The spelling of 42015807 in words is "forty-two million, fifteen thousand, eight hundred seven".

Divisors: 1 3 9 27 73 219 657 1971 21317 63951 191853 575559 1556141 4668423 14005269 42015807