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168426944 = 2671947421
BaseRepresentation
bin10100000100111…
…11110111000000
3102201220222022222
422002133313000
5321104130234
624413550212
74113414440
oct1202376700
9381828288
10168426944
1187088724
12484a5368
1328b8131a
1418524120
15ebbe42e
hexa09fdc0

168426944 has 112 divisors (see below), whose sum is σ = 411601920. Its totient is φ = 66769920.

The previous prime is 168426941. The next prime is 168426959. The reversal of 168426944 is 449624861.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1684269443 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168426895 and 168426904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168426941) 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 15 ways as a sum of consecutive naturals, for example, 399854 + ... + 400274.

Almost surely, 2168426944 is an apocalyptic number.

168426944 is a gapful number since it is divisible by the number (14) 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 168426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205800960).

168426944 is an abundant number, since it is smaller than the sum of its proper divisors (243174976).

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

168426944 is a wasteful number, since it uses less digits than its factorization.

168426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 168426944 is about 12977.9406686885. The cubic root of 168426944 is about 552.2518629399.

It can be divided in two parts, 1684 and 26944, that multiplied together give a square (45373696 = 67362).

The spelling of 168426944 in words is "one hundred sixty-eight million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 47 56 64 76 94 112 133 152 188 224 266 304 329 376 421 448 532 608 658 752 842 893 1064 1216 1316 1504 1684 1786 2128 2632 2947 3008 3368 3572 4256 5264 5894 6251 6736 7144 7999 8512 10528 11788 12502 13472 14288 15998 19787 21056 23576 25004 26944 28576 31996 39574 47152 50008 55993 57152 63992 79148 94304 100016 111986 127984 138509 158296 188608 200032 223972 255968 277018 316592 375953 400064 447944 511936 554036 633184 751906 895888 1108072 1266368 1503812 1791776 2216144 2631671 3007624 3583552 4432288 5263342 6015248 8864576 10526684 12030496 21053368 24060992 42106736 84213472 168426944