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161387856 = 2433783643
BaseRepresentation
bin10011001111010…
…01010101010000
3102020200100112000
421213221111100
5312303402411
624003034000
73666526350
oct1147512520
9366610460
10161387856
11831100a3
124606b900
1327588396
1417610b60
15e27d956
hex99e9550

161387856 has 160 divisors (see below), whose sum is σ = 536632320. Its totient is φ = 45484416.

The previous prime is 161387839. The next prime is 161387861. The reversal of 161387856 is 658783161.

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, 250671 + ... + 251313.

It is an arithmetic number, because the mean of its divisors is an integer number (3353952).

Almost surely, 2161387856 is an apocalyptic number.

161387856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161387856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268316160).

161387856 is an abundant number, since it is smaller than the sum of its proper divisors (375244464).

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

161387856 is a wasteful number, since it uses less digits than its factorization.

161387856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 161387856 is about 12703.8520142514. The cubic root of 161387856 is about 544.4486818804.

The spelling of 161387856 in words is "one hundred sixty-one million, three hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 643 664 747 756 996 1008 1162 1286 1328 1494 1512 1743 1929 1992 2241 2324 2572 2988 3024 3486 3858 3984 4482 4501 4648 5144 5229 5787 5976 6972 7716 8964 9002 9296 10288 10458 11574 11952 13503 13944 15432 15687 17361 17928 18004 20916 23148 27006 27888 30864 31374 34722 35856 36008 40509 41832 46296 53369 54012 62748 69444 72016 81018 83664 92592 106738 108024 121527 125496 138888 160107 162036 213476 216048 243054 250992 277776 320214 324072 373583 426952 480321 486108 640428 648144 747166 853904 960642 972216 1120749 1280856 1440963 1494332 1921284 1944432 2241498 2561712 2881926 2988664 3362247 3842568 4482996 5763852 5977328 6724494 7685136 8965992 10086741 11527704 13448988 17931984 20173482 23055408 26897976 40346964 53795952 80693928 161387856