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133255408 = 241113139419
BaseRepresentation
bin1111111000101…
…01000011110000
3100021202002001111
413330111003300
5233103133113
621120043104
73205436506
oct774250360
9307662044
10133255408
1169245840
1238763494
13217b8470
14139aa676
15ba7313d
hex7f150f0

133255408 has 80 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 55376640.

The previous prime is 133255403. The next prime is 133255411. The reversal of 133255408 is 804552331.

It is a super-2 number, since 2×1332554082 = 35514007522492928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133255408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133255403) 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, 317823 + ... + 318241.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2133255408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133255408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

133255408 is an abundant number, since it is smaller than the sum of its proper divisors (172974992).

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

133255408 is a wasteful number, since it uses less digits than its factorization.

133255408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 133255408 is about 11543.6306247211. The cubic root of 133255408 is about 510.7734106707.

The spelling of 133255408 in words is "one hundred thirty-three million, two hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 139 143 176 208 278 286 419 556 572 838 1112 1144 1529 1676 1807 2224 2288 3058 3352 3614 4609 5447 6116 6704 7228 9218 10894 12232 14456 18436 19877 21788 24464 28912 36872 39754 43576 58241 59917 73744 79508 87152 116482 119834 159016 232964 239668 318032 465928 479336 640651 757133 931856 958672 1281302 1514266 2562604 3028532 5125208 6057064 8328463 10250416 12114128 16656926 33313852 66627704 133255408