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3948452406 = 234531094219
BaseRepresentation
bin1110101101011000…
…1001101000110110
3101012011201011110000
43223112021220312
531041300434111
61451445012130
7166563202023
oct35326115066
911164634400
103948452406
111746886808
129223b4046
134ac043a92
1429657654a
15181991c56
hexeb589a36

3948452406 has 80 divisors (see below), whose sum is σ = 9099248400. Its totient is φ = 1279167552.

The previous prime is 3948452383. The next prime is 3948452407. The reversal of 3948452406 is 6042548493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948452407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 933765 + ... + 937983.

It is an arithmetic number, because the mean of its divisors is an integer number (113740605).

Almost surely, 23948452406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948452406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549624200).

3948452406 is an abundant number, since it is smaller than the sum of its proper divisors (5150795994).

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

3948452406 is a wasteful number, since it uses less digits than its factorization.

3948452406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3948452406 is about 62836.7122469023. The cubic root of 3948452406 is about 1580.5526569052.

The spelling of 3948452406 in words is "three billion, nine hundred forty-eight million, four hundred fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 109 159 162 218 318 327 477 654 954 981 1431 1962 2862 2943 4219 4293 5777 5886 8438 8586 8829 11554 12657 17331 17658 25314 34662 37971 51993 75942 103986 113913 155979 223607 227826 311958 341739 447214 459871 467937 670821 683478 919742 935874 1341642 1379613 2012463 2759226 4024926 4138839 6037389 8277678 12074778 12416517 18112167 24373163 24833034 36224334 37249551 48746326 73119489 74499102 146238978 219358467 438716934 658075401 1316150802 1974226203 3948452406