Search a number
-
+
39900276 = 2234139473
BaseRepresentation
bin1001100000110…
…1010001110100
32210002010220000
42120031101310
540203302101
63543111300
7663101223
oct230152164
983063800
1039900276
1120582739
1211442530
138360340
145428cba
153782486
hex260d474

39900276 has 60 divisors (see below), whose sum is σ = 112342692. Its totient is φ = 12275712.

The previous prime is 39900233. The next prime is 39900277. The reversal of 39900276 is 67200993.

It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 15397776 = 4950^2 + 3924^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 39900276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39900277) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 525 + ... + 8948.

Almost surely, 239900276 is an apocalyptic number.

39900276 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 39900276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56171346).

39900276 is an abundant number, since it is smaller than the sum of its proper divisors (72442416).

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

39900276 is a wasteful number, since it uses less digits than its factorization.

39900276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 39900276 is about 6316.6665259455. Note that the first 3 decimals coincide. The cubic root of 39900276 is about 341.7107434180.

The spelling of 39900276 in words is "thirty-nine million, nine hundred thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 9473 18946 28419 37892 56838 85257 113676 123149 170514 246298 255771 341028 369447 492596 511542 738894 767313 1023084 1108341 1477788 1534626 2216682 3069252 3325023 4433364 6650046 9975069 13300092 19950138 39900276