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388248144 = 24312763689
BaseRepresentation
bin10111001001000…
…011001001010000
31000001120001022220
4113021003021100
51243342420034
6102305301040
712423024534
oct2711031120
91001501286
10388248144
1118a179639
12aa034780
136258853b
14397c5bc4
1524141749
hex17243250

388248144 has 40 divisors (see below), whose sum is σ = 1010887680. Its totient is φ = 128395008.

The previous prime is 388248137. The next prime is 388248197. The reversal of 388248144 is 441842883.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 388248096 and 388248105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25749 + ... + 37940.

It is an arithmetic number, because the mean of its divisors is an integer number (25272192).

Almost surely, 2388248144 is an apocalyptic number.

It is an amenable number.

388248144 is an abundant number, since it is smaller than the sum of its proper divisors (622639536).

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

388248144 is a wasteful number, since it uses less digits than its factorization.

388248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63827 (or 63821 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 388248144 is about 19704.0133982902. The cubic root of 388248144 is about 729.5187570644.

The spelling of 388248144 in words is "three hundred eighty-eight million, two hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 63689 127378 191067 254756 382134 509512 764268 1019024 1528536 3057072 8088503 16177006 24265509 32354012 48531018 64708024 97062036 129416048 194124072 388248144