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387152896 = 21013127229
BaseRepresentation
bin10111000100110…
…111110000000000
3222222111101221011
4113010313300000
51243102343041
6102230010304
712410513434
oct2704676000
9888441834
10387152896
111895a0779
12a97a6994
1362293b70
14395bc9c4
1523ec6e81
hex17137c00

387152896 has 88 divisors (see below), whose sum is σ = 843691520. Its totient is φ = 176504832.

The previous prime is 387152891. The next prime is 387152903. The reversal of 387152896 is 698251783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387152891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690510 + ... + 1690738.

Almost surely, 2387152896 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 387152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421845760).

387152896 is an abundant number, since it is smaller than the sum of its proper divisors (456538624).

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

387152896 is a wasteful number, since it uses less digits than its factorization.

387152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 387152896 is about 19676.2012593895. The cubic root of 387152896 is about 728.8321201959.

The spelling of 387152896 in words is "three hundred eighty-seven million, one hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 229 254 256 416 458 508 512 832 916 1016 1024 1651 1664 1832 2032 2977 3302 3328 3664 4064 5954 6604 6656 7328 8128 11908 13208 13312 14656 16256 23816 26416 29083 29312 32512 47632 52832 58166 58624 65024 95264 105664 116332 117248 130048 190528 211328 232664 234496 378079 381056 422656 465328 756158 762112 845312 930656 1512316 1524224 1690624 1861312 3024632 3048448 3722624 6049264 7445248 12098528 14890496 24197056 29780992 48394112 96788224 193576448 387152896