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398386053 = 331319314147
BaseRepresentation
bin10111101111101…
…110001110000101
31000202122002221000
4113233232032011
51303441323203
6103310443513
712605140242
oct2757561605
91022562830
10398386053
1119497337a
12b1503599
13646c7ac0
143aca45c9
1524e954a3
hex17bee385

398386053 has 128 divisors (see below), whose sum is σ = 722534400. Its totient is φ = 214617600.

The previous prime is 398386049. The next prime is 398386057. The reversal of 398386053 is 350683893.

398386053 is a `hidden beast` number, since 3 + 9 + 8 + 38 + 605 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (398386049) and next prime (398386057).

It is not a de Polignac number, because 398386053 - 22 = 398386049 is a prime.

It is a super-2 number, since 2×3983860532 = 317422894449837618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398386057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8476276 + ... + 8476322.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2398386053 is an apocalyptic number.

It is an amenable number.

398386053 is a deficient number, since it is larger than the sum of its proper divisors (324148347).

398386053 is a wasteful number, since it uses less digits than its factorization.

398386053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 398386053 is about 19959.6105422927. The cubic root of 398386053 is about 735.8139919881.

The spelling of 398386053 in words is "three hundred ninety-eight million, three hundred eighty-six thousand, fifty-three".

Divisors: 1 3 9 13 19 27 31 39 41 47 57 93 117 123 141 171 247 279 351 369 403 423 513 533 589 611 741 779 837 893 1107 1209 1269 1271 1457 1599 1767 1833 1927 2223 2337 2679 3627 3813 4371 4797 5301 5499 5781 6669 7011 7657 8037 10127 10881 11439 11609 13113 14391 15903 16497 16523 17343 18941 21033 22971 24111 24149 25051 27683 30381 34317 34827 36613 39339 49569 52029 56823 59737 68913 72447 75153 83049 91143 104481 109839 148707 170469 179211 206739 217341 225459 249147 273429 313443 313937 329517 359879 446121 475969 511407 537633 652023 676377 747441 776581 941811 988551 1079637 1135003 1427907 1612899 2329743 2825433 3238911 3405009 4283721 6989229 8476299 9716733 10215027 12851163 14755039 20967687 30645081 44265117 132795351 398386053