Search a number
-
+
388890624 = 21732343
BaseRepresentation
bin10111001011100…
…000000000000000
31000002202200122110
4113023200000000
51244023444444
6102331135320
712431341623
oct2713400000
91002680573
10388890624
1118a578311
12aa2a4540
1362751ac5
1439911dba
152421bcb9
hex172e0000

388890624 has 144 divisors (see below), whose sum is σ = 1107292032. Its totient is φ = 121110528.

The previous prime is 388890599. The next prime is 388890709. The reversal of 388890624 is 426098883.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9043947 + ... + 9043989.

It is an arithmetic number, because the mean of its divisors is an integer number (7689528).

Almost surely, 2388890624 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 388890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553646016).

388890624 is an abundant number, since it is smaller than the sum of its proper divisors (718401408).

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

388890624 is an frugal number, since it uses more digits than its factorization.

388890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 388890624 is about 19720.3099367125. The cubic root of 388890624 is about 729.9209422110.

The spelling of 388890624 in words is "three hundred eighty-eight million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 256 258 276 344 368 384 512 516 552 688 736 768 989 1024 1032 1104 1376 1472 1536 1978 2048 2064 2208 2752 2944 2967 3072 3956 4096 4128 4416 5504 5888 5934 6144 7912 8192 8256 8832 11008 11776 11868 12288 15824 16384 16512 17664 22016 23552 23736 24576 31648 32768 33024 35328 44032 47104 47472 49152 63296 65536 66048 70656 88064 94208 94944 98304 126592 131072 132096 141312 176128 188416 189888 196608 253184 264192 282624 352256 376832 379776 393216 506368 528384 565248 704512 753664 759552 1012736 1056768 1130496 1409024 1507328 1519104 2025472 2113536 2260992 2818048 3014656 3038208 4050944 4227072 4521984 5636096 6076416 8101888 8454144 9043968 12152832 16203776 16908288 24305664 32407552 48611328 64815104 97222656 129630208 194445312 388890624