Search a number
-
+
40015458 = 23472712
BaseRepresentation
bin1001100010100…
…1011001100010
32210021222220000
42120221121202
540220443313
63545400430
7664061100
oct230513142
983258800
1040015458
112065122a
1211499116
1383a08b2
145458c70
1537a6673
hex2629662

40015458 has 90 divisors (see below), whose sum is σ = 105793083. Its totient is φ = 11271960.

The previous prime is 40015441. The next prime is 40015483. The reversal of 40015458 is 85451004.

It can be written as a sum of positive squares in only one way, i.e., 20007729 + 20007729 = 4473^2 + 4473^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4473.

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

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 44 ways as a sum of consecutive naturals, for example, 563563 + ... + 563633.

Almost surely, 240015458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40015458

40015458 is an abundant number, since it is smaller than the sum of its proper divisors (65777625).

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

40015458 is an equidigital number, since it uses as much as digits as its factorization.

40015458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 40015458 is about 6325.7772644949. Note that the first 3 decimals coincide. The cubic root of 40015458 is about 342.0392383419.

Multiplying 40015458 by its product of nonzero digits (3200), we get a square (128049465600 = 3578402).

The spelling of 40015458 in words is "forty million, fifteen thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 81 98 126 142 147 162 189 213 294 378 426 441 497 567 639 882 994 1134 1278 1323 1491 1917 2646 2982 3479 3834 3969 4473 5041 5751 6958 7938 8946 10082 10437 11502 13419 15123 20874 26838 30246 31311 35287 40257 45369 62622 70574 80514 90738 93933 105861 136107 187866 211722 247009 272214 281799 317583 408321 494018 563598 635166 741027 816642 952749 1482054 1905498 2223081 2858247 4446162 5716494 6669243 13338486 20007729 40015458