Search a number
-
+
40036788 = 22331167503
BaseRepresentation
bin1001100010111…
…0100110110100
32210100002011000
42120232212310
540222134123
63550043300
7664210221
oct230564664
983302130
1040036788
1120666260
12114a9530
1383aa50c
145462948
1537acb43
hex262e9b4

40036788 has 96 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 11927520.

The previous prime is 40036729. The next prime is 40036811. The reversal of 40036788 is 88763004.

40036788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79345 + ... + 79847.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 240036788 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 40036788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

40036788 is an abundant number, since it is smaller than the sum of its proper divisors (75117132).

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

40036788 is a wasteful number, since it uses less digits than its factorization.

40036788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40036788 is about 6327.4629987065. The cubic root of 40036788 is about 342.1000015352.

The spelling of 40036788 in words is "forty million, thirty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 132 134 198 201 268 297 396 402 503 594 603 737 804 1006 1188 1206 1474 1509 1809 2012 2211 2412 2948 3018 3618 4422 4527 5533 6036 6633 7236 8844 9054 11066 13266 13581 16599 18108 19899 22132 26532 27162 33198 33701 39798 49797 54324 66396 67402 79596 99594 101103 134804 149391 199188 202206 298782 303309 370711 404412 597564 606618 741422 909927 1112133 1213236 1482844 1819854 2224266 3336399 3639708 4448532 6672798 10009197 13345596 20018394 40036788