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398794752 = 21334601
BaseRepresentation
bin10111110001010…
…010000000000000
31000210101212120000
4113301102000000
51304042413002
6103323320000
712611461626
oct2761220000
91023355500
10398794752
11195122444
12b1680000
136480bb35
143ad6d516
152502661c
hex17c52000

398794752 has 140 divisors (see below), whose sum is σ = 1193370486. Its totient is φ = 132710400.

The previous prime is 398794729. The next prime is 398794777. The reversal of 398794752 is 257497893.

It can be written as a sum of positive squares in only one way, i.e., 279023616 + 119771136 = 16704^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 663252 + ... + 663852.

Almost surely, 2398794752 is an apocalyptic number.

398794752 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 398794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596685243).

398794752 is an abundant number, since it is smaller than the sum of its proper divisors (794575734).

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

398794752 is an frugal number, since it uses more digits than its factorization.

398794752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 606 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 398794752 is about 19969.8460685104. The cubic root of 398794752 is about 736.0655266171.

The spelling of 398794752 in words is "three hundred ninety-eight million, seven hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 601 648 768 864 1024 1152 1202 1296 1536 1728 1803 2048 2304 2404 2592 3072 3456 3606 4096 4608 4808 5184 5409 6144 6912 7212 8192 9216 9616 10368 10818 12288 13824 14424 16227 18432 19232 20736 21636 24576 27648 28848 32454 36864 38464 41472 43272 48681 55296 57696 64908 73728 76928 82944 86544 97362 110592 115392 129816 153856 165888 173088 194724 221184 230784 259632 307712 331776 346176 389448 461568 519264 615424 663552 692352 778896 923136 1038528 1230848 1384704 1557792 1846272 2077056 2461696 2769408 3115584 3692544 4154112 4923392 5538816 6231168 7385088 8308224 11077632 12462336 14770176 16616448 22155264 24924672 33232896 44310528 49849344 66465792 99698688 132931584 199397376 398794752