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155688896 = 26113743139
BaseRepresentation
bin10010100011110…
…01111111000000
3101211221211000102
421101321333000
5304324021041
623240541532
73600222326
oct1121717700
9354854012
10155688896
117a978410
12441818a8
132634140c
1416969d16
15da0509b
hex9479fc0

155688896 has 112 divisors (see below), whose sum is σ = 356737920. Its totient is φ = 66769920.

The previous prime is 155688889. The next prime is 155688917. The reversal of 155688896 is 698886551.

155688896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119995 + ... + 1120133.

It is an arithmetic number, because the mean of its divisors is an integer number (3185160).

Almost surely, 2155688896 is an apocalyptic number.

155688896 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 155688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178368960).

155688896 is an abundant number, since it is smaller than the sum of its proper divisors (201049024).

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

155688896 is a wasteful number, since it uses less digits than its factorization.

155688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 56.

The square root of 155688896 is about 12477.5356541266. The cubic root of 155688896 is about 537.9631728545.

The spelling of 155688896 in words is "one hundred fifty-five million, six hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 64 74 86 88 139 148 172 176 278 296 344 352 407 473 556 592 688 704 814 946 1112 1184 1376 1529 1591 1628 1892 2224 2368 2752 3058 3182 3256 3784 4448 5143 5977 6116 6364 6512 7568 8896 10286 11954 12232 12728 13024 15136 17501 20572 23908 24464 25456 26048 30272 35002 41144 47816 48928 50912 56573 65747 70004 82288 95632 97856 101824 113146 131494 140008 164576 191264 221149 226292 262988 280016 329152 382528 442298 452584 525976 560032 884596 905168 1051952 1120064 1769192 1810336 2103904 2432639 3538384 3620672 4207808 4865278 7076768 9730556 14153536 19461112 38922224 77844448 155688896