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388098048 = 21131343113
BaseRepresentation
bin10111001000011…
…110100000000000
31000001021102102210
4113020132200000
51243323114143
6102302142120
712421531122
oct2710364000
91001242383
10388098048
1118a086898
12a9b81940
1362535120
1439787212
1524112033
hex1721e800

388098048 has 192 divisors, whose sum is σ = 1150269120. Its totient is φ = 115605504.

The previous prime is 388098001. The next prime is 388098071. The reversal of 388098048 is 840890883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3880980482 = 301240189722820608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 388097988 and 388098006.

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, 3434440 + ... + 3434552.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2388098048 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 388098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

388098048 is an abundant number, since it is smaller than the sum of its proper divisors (762171072).

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

388098048 is a wasteful number, since it uses less digits than its factorization.

388098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 388098048 is about 19700.2042629004. The cubic root of 388098048 is about 729.4247347554.

The spelling of 388098048 in words is "three hundred eighty-eight million, ninety-eight thousand, forty-eight".