Search a number
-
+
39149136 = 2433136971
BaseRepresentation
bin1001010101010…
…1111001010000
32201122222112000
42111111321100
540010233021
63515034000
7653522265
oct225257120
981588460
1039149136
112010a364
121113b900
138159490
1452b126c
153684b26
hex2555e50

39149136 has 80 divisors (see below), whose sum is σ = 121033920. Its totient is φ = 12044160.

The previous prime is 39149107. The next prime is 39149141. The reversal of 39149136 is 63194193.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39149136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (1512924).

Almost surely, 239149136 is an apocalyptic number.

39149136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39149136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60516960).

39149136 is an abundant number, since it is smaller than the sum of its proper divisors (81884784).

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

39149136 is a wasteful number, since it uses less digits than its factorization.

39149136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6989 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 39149136 is about 6256.9270412879. The cubic root of 39149136 is about 339.5528608920.

The spelling of 39149136 in words is "thirty-nine million, one hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 6971 13942 20913 27884 41826 55768 62739 83652 90623 111536 125478 167304 181246 188217 250956 271869 334608 362492 376434 501912 543738 724984 752868 815607 1003824 1087476 1449968 1505736 1631214 2174952 2446821 3011472 3262428 4349904 4893642 6524856 9787284 13049712 19574568 39149136