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3948208398 = 2321947245627
BaseRepresentation
bin1110101101010100…
…1110000100001110
3101012011020202201200
43223111032010032
531041220132043
61451435450330
7166561134441
oct35325160416
911164222650
103948208398
11174672a452
129222b69a6
134abc899b4
14296511658
151819447d3
hexeb54e10e

3948208398 has 48 divisors (see below), whose sum is σ = 9196312320. Its totient is φ = 1220269968.

The previous prime is 3948208339. The next prime is 3948208409. The reversal of 3948208398 is 8938028493.

It is a happy number.

3948208398 is a `hidden beast` number, since 3 + 9 + 48 + 208 + 398 = 666.

3948208398 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106740 + ... + 138887.

It is an arithmetic number, because the mean of its divisors is an integer number (191589840).

Almost surely, 23948208398 is an apocalyptic number.

3948208398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

3948208398 is an abundant number, since it is smaller than the sum of its proper divisors (5248103922).

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

3948208398 is a wasteful number, since it uses less digits than its factorization.

3948208398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245701 (or 245698 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3948208398 is about 62834.7706130929. The cubic root of 3948208398 is about 1580.5200976982.

The spelling of 3948208398 in words is "three billion, nine hundred forty-eight million, two hundred eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 245627 491254 736881 1473762 2210643 4421286 4666913 9333826 11544469 14000739 23088938 28001478 34633407 42002217 69266814 84004434 103900221 207800442 219344911 438689822 658034733 1316069466 1974104199 3948208398