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398099856 = 243711195669
BaseRepresentation
bin10111101110101…
…000010110010000
31000202002120100010
4113232220112100
51303403143411
6103300354520
712602535660
oct2756502620
91022076303
10398099856
11194798350
12b13a5a40
136462775b
143ac2c1a0
1524e3a7a6
hex17ba8590

398099856 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 97943040.

The previous prime is 398099851. The next prime is 398099869. The reversal of 398099856 is 658990893.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 398099796 and 398099805.

It is not an unprimeable number, because it can be changed into a prime (398099851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67390 + ... + 73058.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2398099856 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 398099856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

398099856 is an abundant number, since it is smaller than the sum of its proper divisors (951813744).

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

398099856 is a wasteful number, since it uses less digits than its factorization.

398099856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 398099856 is about 19952.4398508052. The cubic root of 398099856 is about 735.6377490333.

The spelling of 398099856 in words is "three hundred ninety-eight million, ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5669 5852 6384 8778 10032 11338 11704 17007 17556 22676 23408 34014 35112 39683 45352 62359 68028 70224 79366 90704 107711 119049 124718 136056 158732 187077 215422 238098 249436 272112 317464 323133 374154 430844 436513 476196 498872 634928 646266 748308 753977 861688 873026 952392 997744 1184821 1292532 1309539 1496616 1507954 1723376 1746052 1904784 2261931 2369642 2585064 2619078 2993232 3015908 3492104 3554463 4523862 4739284 5170128 5238156 6031816 6984208 7108926 8293747 9047724 9478568 10476312 12063632 14217852 16587494 18095448 18957136 20952624 24881241 28435704 33174988 36190896 49762482 56871408 66349976 99524964 132699952 199049928 398099856