Search a number
-
+
40389504 = 273107983
BaseRepresentation
bin1001101000010…
…0101110000000
32210222222222120
42122010232000
540314431004
64001404240
71000206441
oct232045600
983888876
1040389504
1120887261
1211639680
1384a1c1c
1455152c8
15382c3d9
hex2684b80

40389504 has 64 divisors (see below), whose sum is σ = 108397440. Its totient is φ = 13323776.

The previous prime is 40389487. The next prime is 40389509. The reversal of 40389504 is 40598304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40389509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40597 + ... + 41579.

It is an arithmetic number, because the mean of its divisors is an integer number (1693710).

Almost surely, 240389504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54198720).

40389504 is an abundant number, since it is smaller than the sum of its proper divisors (68007936).

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

40389504 is a wasteful number, since it uses less digits than its factorization.

40389504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40389504 is about 6355.2737155846. The cubic root of 40389504 is about 343.1016763454.

The spelling of 40389504 in words is "forty million, three hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 983 1284 1712 1966 2568 2949 3424 3932 5136 5898 6848 7864 10272 11796 13696 15728 20544 23592 31456 41088 47184 62912 94368 105181 125824 188736 210362 315543 377472 420724 631086 841448 1262172 1682896 2524344 3365792 5048688 6731584 10097376 13463168 20194752 40389504