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2874738438 = 2341113314003
BaseRepresentation
bin1010101101011001…
…0000011100000110
321102100022211210000
42223112100130012
521341413112223
61153131342130
7131144605425
oct25326203406
97370284700
102874738438
1112457955a0
126828b1946
1336a767780
141d3b1b2bc
1511c59e543
hexab590706

2874738438 has 160 divisors (see below), whose sum is σ = 7813757952. Its totient is φ = 777988800.

The previous prime is 2874738431. The next prime is 2874738443. The reversal of 2874738438 is 8348374782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874738431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716145 + ... + 720147.

Almost surely, 22874738438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874738438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906878976).

2874738438 is an abundant number, since it is smaller than the sum of its proper divisors (4939019514).

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

2874738438 is a wasteful number, since it uses less digits than its factorization.

2874738438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4063 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2874738438 is about 53616.5873401133. The cubic root of 2874738438 is about 1421.8903670218.

The spelling of 2874738438 in words is "two billion, eight hundred seventy-four million, seven hundred thirty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 81 93 99 117 143 162 186 198 234 279 286 297 341 351 403 429 558 594 682 702 806 837 858 891 1023 1053 1209 1287 1674 1782 2046 2106 2418 2511 2574 3069 3627 3861 4003 4433 5022 6138 7254 7722 8006 8866 9207 10881 11583 12009 13299 18414 21762 23166 24018 26598 27621 32643 36027 39897 44033 52039 55242 65286 72054 79794 88066 104078 108081 119691 124093 132099 156117 216162 239382 248186 264198 312234 324243 359073 372279 396297 468351 572429 648486 718146 744558 792594 936702 1116837 1144858 1188891 1365023 1405053 1613209 1717287 2233674 2377782 2730046 2810106 3226418 3350511 3434574 3566673 4095069 4215159 4839627 5151861 6701022 7133346 8190138 8430318 9679254 10051533 10303722 12285207 14518881 15455583 17745299 20103066 24570414 29037762 30911166 35490598 36855621 43556643 46366749 53235897 73711242 87113286 92733498 106471794 110566863 130669929 159707691 221133726 261339858 319415382 479123073 958246146 1437369219 2874738438