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398462652 = 223107241
BaseRepresentation
bin10111110000000…
…000111010111100
31000202210000000000
4113300000322330
51304001301102
6103312234300
712605606460
oct2760007274
91022700000
10398462652
11194a15985
12b153b990
1364723923
143acc44a0
1524ead01c
hex17c00ebc

398462652 has 132 divisors (see below), whose sum is σ = 1200341296. Its totient is φ = 113374080.

The previous prime is 398462651. The next prime is 398462671. The reversal of 398462652 is 256264893.

It is a super-3 number, since 3×3984626523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398462598 and 398462607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398462651) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1653252 + ... + 1653492.

Almost surely, 2398462652 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 398462652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600170648).

398462652 is an abundant number, since it is smaller than the sum of its proper divisors (801878644).

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

398462652 is an equidigital number, since it uses as much as digits as its factorization.

398462652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 398462652 is about 19961.5293001313. The cubic root of 398462652 is about 735.8611480934.

The spelling of 398462652 in words is "three hundred ninety-eight million, four hundred sixty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 241 243 252 324 378 482 486 567 723 729 756 964 972 1134 1446 1458 1687 1701 2169 2187 2268 2892 2916 3374 3402 4338 4374 5061 5103 6507 6561 6748 6804 8676 8748 10122 10206 13014 13122 15183 15309 19521 19683 20244 20412 26028 26244 30366 30618 39042 39366 45549 45927 58563 59049 60732 61236 78084 78732 91098 91854 117126 118098 136647 137781 175689 182196 183708 234252 236196 273294 275562 351378 409941 413343 527067 546588 551124 702756 819882 826686 1054134 1229823 1581201 1639764 1653372 2108268 2459646 3162402 3689469 4743603 4919292 6324804 7378938 9487206 11068407 14230809 14757876 18974412 22136814 28461618 33205221 44273628 56923236 66410442 99615663 132820884 199231326 398462652