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133858816 = 29713317
BaseRepresentation
bin1111111101010…
…00011000000000
3100022212201202221
413332220120000
5233231440231
621141020424
73213531640
oct776503000
9308781687
10133858816
1169618123
12389b4714
132196a000
1413ac6520
15bb41d11
hex7fa8600

133858816 has 160 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 49840128.

The previous prime is 133858811. The next prime is 133858841. The reversal of 133858816 is 618858331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133858811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7874040 + ... + 7874056.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266).

Almost surely, 2133858816 is an apocalyptic number.

133858816 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 133858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

133858816 is an abundant number, since it is smaller than the sum of its proper divisors (216743744).

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

133858816 is an frugal number, since it uses more digits than its factorization.

133858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 39 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 133858816 is about 11569.7370756643. The cubic root of 133858816 is about 511.5432123837.

It can be divided in two parts, 13385 and 8816, that added together give a square (22201 = 1492).

The spelling of 133858816 in words is "one hundred thirty-three million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 169 182 208 221 224 238 256 272 338 364 416 442 448 476 512 544 676 728 832 884 896 952 1088 1183 1352 1456 1547 1664 1768 1792 1904 2176 2197 2366 2704 2873 2912 3094 3328 3536 3584 3808 4352 4394 4732 5408 5746 5824 6188 6656 7072 7616 8704 8788 9464 10816 11492 11648 12376 14144 15232 15379 17576 18928 20111 21632 22984 23296 24752 28288 30464 30758 35152 37349 37856 40222 43264 45968 46592 49504 56576 60928 61516 70304 74698 75712 80444 86528 91936 99008 113152 123032 140608 149396 151424 160888 183872 198016 246064 261443 281216 298792 302848 321776 367744 396032 492128 522886 562432 597584 605696 643552 735488 792064 984256 1045772 1124864 1195168 1287104 1470976 1968512 2091544 2390336 2574208 3937024 4183088 4780672 5148416 7874048 8366176 9561344 10296832 16732352 19122688 33464704 66929408 133858816