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538938414 = 23377319531
BaseRepresentation
bin100000000111111…
…000110000101110
31101120002220112000
4200013320300232
52100432012124
6125251153130
716232621010
oct4007706056
91346086460
10538938414
11257242453
121305a57a6
1387869691
14518101b0
15324aa6c9
hex201f8c2e

538938414 has 64 divisors (see below), whose sum is σ = 1387553280. Its totient is φ = 151865280.

The previous prime is 538938377. The next prime is 538938427. The reversal of 538938414 is 414839835.

It is a super-2 number, since 2×5389384142 = 580909228169670792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 538938414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17829 + ... + 37359.

It is an arithmetic number, because the mean of its divisors is an integer number (21680520).

Almost surely, 2538938414 is an apocalyptic number.

538938414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 538938414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693776640).

538938414 is an abundant number, since it is smaller than the sum of its proper divisors (848614866).

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

538938414 is a wasteful number, since it uses less digits than its factorization.

538938414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19622 (or 19616 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 538938414 is about 23215.0471461938. The cubic root of 538938414 is about 813.7913075508.

The spelling of 538938414 in words is "five hundred thirty-eight million, nine hundred thirty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 9198 13797 19531 27594 39062 58593 117186 136717 175779 273434 351558 410151 527337 820302 1054674 1230453 1425763 2460906 2851526 3691359 4277289 7382718 8554578 9980341 12831867 19960682 25663734 29941023 38495601 59882046 76991202 89823069 179646138 269469207 538938414