Search a number
-
+
40029072 = 2434791741
BaseRepresentation
bin1001100010110…
…0101110010000
32210022200120020
42120230232100
540221412242
63545543440
7664145556
oct230545620
983280506
1040029072
1120660486
12114a4b80
1383a6b55
14545dbd6
1537aa6ec
hex262cb90

40029072 has 40 divisors (see below), whose sum is σ = 103683840. Its totient is φ = 13307520.

The previous prime is 40029061. The next prime is 40029089. The reversal of 40029072 is 27092004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 22122 + ... + 23862.

It is an arithmetic number, because the mean of its divisors is an integer number (2592096).

Almost surely, 240029072 is an apocalyptic number.

It is an amenable number.

40029072 is an abundant number, since it is smaller than the sum of its proper divisors (63654768).

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

40029072 is a wasteful number, since it uses less digits than its factorization.

40029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 40029072 is about 6326.8532462829. The cubic root of 40029072 is about 342.0780233052.

The spelling of 40029072 in words is "forty million, twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1741 1916 2874 3482 3832 5223 5748 6964 7664 10446 11496 13928 20892 22992 27856 41784 83568 833939 1667878 2501817 3335756 5003634 6671512 10007268 13343024 20014536 40029072