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388841472 = 21434293
BaseRepresentation
bin10111001011010…
…100000000000000
31000002200012020000
4113023110000000
51244020411342
6102330120000
712431045415
oct2713240000
91002605200
10388841472
1118a544398
12aa280000
1362735616
14398dc10c
152420c44c
hex172d4000

388841472 has 150 divisors (see below), whose sum is σ = 1165653258. Its totient is φ = 129171456.

The previous prime is 388841461. The next prime is 388841489. The reversal of 388841472 is 274148883.

It can be written as a sum of positive squares in only one way, i.e., 383533056 + 5308416 = 19584^2 + 2304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326958 + ... + 1327250.

Almost surely, 2388841472 is an apocalyptic number.

388841472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582826629).

388841472 is an abundant number, since it is smaller than the sum of its proper divisors (776811786).

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

388841472 is an frugal number, since it uses more digits than its factorization.

388841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 388841472 is about 19719.0636694545. The cubic root of 388841472 is about 729.8901892747.

The spelling of 388841472 in words is "three hundred eighty-eight million, eight hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 293 324 384 432 512 576 586 648 768 864 879 1024 1152 1172 1296 1536 1728 1758 2048 2304 2344 2592 2637 3072 3456 3516 4096 4608 4688 5184 5274 6144 6912 7032 7911 8192 9216 9376 10368 10548 12288 13824 14064 15822 16384 18432 18752 20736 21096 23733 24576 27648 28128 31644 36864 37504 41472 42192 47466 49152 55296 56256 63288 73728 75008 82944 84384 94932 110592 112512 126576 147456 150016 165888 168768 189864 221184 225024 253152 300032 331776 337536 379728 442368 450048 506304 600064 663552 675072 759456 900096 1012608 1200128 1327104 1350144 1518912 1800192 2025216 2400256 2700288 3037824 3600384 4050432 4800512 5400576 6075648 7200768 8100864 10801152 12151296 14401536 16201728 21602304 24302592 32403456 43204608 48605184 64806912 97210368 129613824 194420736 388841472