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2054251536 = 243417379181
BaseRepresentation
bin111101001110001…
…0110010000010000
312022011102210100020
41322130112100100
513201342022121
6535501423440
7101622564351
oct17234262020
95264383306
102054251536
11964631647
12493b6ab80
1326979096c
14156b7bd28
15c052c1c6
hex7a716410

2054251536 has 160 divisors (see below), whose sum is σ = 5611307520. Its totient is φ = 646963200.

The previous prime is 2054251531. The next prime is 2054251541. The reversal of 2054251536 is 6351524502.

It is an interprime number because it is at equal distance from previous prime (2054251531) and next prime (2054251541).

It is a junction number, because it is equal to n+sod(n) for n = 2054251497 and 2054251506.

It is not an unprimeable number, because it can be changed into a prime (2054251531) by changing a digit.

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, 11349366 + ... + 11349546.

It is an arithmetic number, because the mean of its divisors is an integer number (35070672).

Almost surely, 22054251536 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 2054251536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805653760).

2054251536 is an abundant number, since it is smaller than the sum of its proper divisors (3557055984).

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

2054251536 is a wasteful number, since it uses less digits than its factorization.

2054251536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2054251536 is about 45323.8517339381. The cubic root of 2054251536 is about 1271.2116767993.

The spelling of 2054251536 in words is "two billion, fifty-four million, two hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 73 79 82 123 146 158 164 181 219 237 246 292 316 328 362 438 474 492 543 584 632 656 724 876 948 984 1086 1168 1264 1448 1752 1896 1968 2172 2896 2993 3239 3504 3792 4344 5767 5986 6478 7421 8688 8979 9717 11534 11972 12956 13213 14299 14842 17301 17958 19434 22263 23068 23944 25912 26426 28598 29684 34602 35916 38868 39639 42897 44526 46136 47888 51824 52852 57196 59368 69204 71832 77736 79278 85794 89052 92272 105704 114392 118736 138408 143664 155472 158556 171588 178104 211408 228784 236447 276816 317112 343176 356208 472894 541733 586259 634224 686352 709341 945788 1043827 1083466 1172518 1418682 1625199 1758777 1891576 2087654 2166932 2345036 2837364 3131481 3250398 3517554 3783152 4175308 4333864 4690072 5674728 6262962 6500796 7035108 8350616 8667728 9380144 11349456 12525924 13001592 14070216 16701232 25051848 26003184 28140432 42796907 50103696 85593814 128390721 171187628 256781442 342375256 513562884 684750512 1027125768 2054251536