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133445376 = 2832173407
BaseRepresentation
bin1111111010000…
…11011100000000
3100022002201122100
413331003130000
5233130223001
621124110400
73210160401
oct775033400
9308081570
10133445376
1169365539
1238835400
1321853a7c
1413a199a8
15baae586
hex7f43700

133445376 has 108 divisors (see below), whose sum is σ = 407508192. Its totient is φ = 41852928.

The previous prime is 133445363. The next prime is 133445381. The reversal of 133445376 is 673544331.

133445376 is a `hidden beast` number, since 133 + 4 + 453 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133445376.

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 11 ways as a sum of consecutive naturals, for example, 37465 + ... + 40871.

It is an arithmetic number, because the mean of its divisors is an integer number (3773224).

Almost surely, 2133445376 is an apocalyptic number.

133445376 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 133445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203754096).

133445376 is an abundant number, since it is smaller than the sum of its proper divisors (274062816).

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

133445376 is a wasteful number, since it uses less digits than its factorization.

133445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3429 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 133445376 is about 11551.8559547806. The cubic root of 133445376 is about 511.0160137853.

The spelling of 133445376 in words is "one hundred thirty-three million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 3407 4352 4896 6528 6814 9792 10221 13056 13628 19584 20442 27256 30663 39168 40884 54512 57919 61326 81768 109024 115838 122652 163536 173757 218048 231676 245304 327072 347514 436096 463352 490608 521271 654144 695028 872192 926704 981216 1042542 1308288 1390056 1853408 1962432 2085084 2616576 2780112 3706816 3924864 4170168 5560224 7413632 7849728 8340336 11120448 14827264 16680672 22240896 33361344 44481792 66722688 133445376