Search a number
-
+
39749090304 = 2103711197853
BaseRepresentation
bin100101000001001110…
…101111110000000000
310210121011221000002210
4211001032233300000
51122401231342204
630132132542120
72605006456440
oct450116576000
9123534830083
1039749090304
1115948363960
127853a81940
1339960b1aa1
141cd1136120
151079973389
hex9413afc00

39749090304 has 352 divisors, whose sum is σ = 132914428416. Its totient is φ = 10259988480.

The previous prime is 39749090281. The next prime is 39749090363. The reversal of 39749090304 is 40309094793.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46598742 + ... + 46599594.

It is an arithmetic number, because the mean of its divisors is an integer number (377597808).

Almost surely, 239749090304 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 39749090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66457214208).

39749090304 is an abundant number, since it is smaller than the sum of its proper divisors (93165338112).

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

39749090304 is a wasteful number, since it uses less digits than its factorization.

39749090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 39749090304 in words is "thirty-nine billion, seven hundred forty-nine million, ninety thousand, three hundred four".