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1055016438 = 23743678719
BaseRepresentation
bin111110111000100…
…100010111110110
32201112012101110220
4332320210113312
54130041011223
6252404355210
735100330450
oct7670442766
92645171426
101055016438
114a1590513
122553a5b06
1313a7609a8
14a018d2d0
156294c6e3
hex3ee245f6

1055016438 has 64 divisors (see below), whose sum is σ = 2504663040. Its totient is φ = 289995552.

The previous prime is 1055016437. The next prime is 1055016449. The reversal of 1055016438 is 8346105501.

It is a super-2 number, since 2×10550164382 = 2226119368900415688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055016399 and 1055016408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055016437) 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, 116643 + ... + 125361.

It is an arithmetic number, because the mean of its divisors is an integer number (39135360).

Almost surely, 21055016438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055016438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252331520).

1055016438 is an abundant number, since it is smaller than the sum of its proper divisors (1449646602).

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

1055016438 is a wasteful number, since it uses less digits than its factorization.

1055016438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1055016438 is about 32481.0165789188. The cubic root of 1055016438 is about 1018.0124174580.

The spelling of 1055016438 in words is "one billion, fifty-five million, sixteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 67 86 129 134 201 258 301 402 469 602 903 938 1407 1806 2814 2881 5762 8643 8719 17286 17438 20167 26157 40334 52314 60501 61033 121002 122066 183099 366198 374917 584173 749834 1124751 1168346 1752519 2249502 2624419 3505038 4089211 5248838 7873257 8178422 12267633 15746514 24535266 25119439 50238878 75358317 150716634 175836073 351672146 527508219 1055016438