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133368448 = 2719293161
BaseRepresentation
bin1111111001100…
…00101010000000
3100021221211010011
413330300222000
5233120242243
621122314304
73206420203
oct774605200
9307854104
10133368448
1169312764
12387b8994
1321827a55
14139d993a
15ba9689d
hex7f30a80

133368448 has 128 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 58060800.

The previous prime is 133368437. The next prime is 133368481. The reversal of 133368448 is 844863331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 133368448.

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, 2186338 + ... + 2186398.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2133368448 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 133368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

133368448 is an abundant number, since it is smaller than the sum of its proper divisors (170183552).

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

133368448 is a wasteful number, since it uses less digits than its factorization.

133368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 133368448 is about 11548.5257933643. The cubic root of 133368448 is about 510.9177988264.

The spelling of 133368448 in words is "one hundred thirty-three million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 29 31 32 38 58 61 62 64 76 116 122 124 128 152 232 244 248 304 464 488 496 551 589 608 899 928 976 992 1102 1159 1178 1216 1769 1798 1856 1891 1952 1984 2204 2318 2356 2432 3538 3596 3712 3782 3904 3968 4408 4636 4712 7076 7192 7564 7808 8816 9272 9424 14152 14384 15128 17081 17632 18544 18848 28304 28768 30256 33611 34162 35264 35929 37088 37696 54839 56608 57536 60512 67222 68324 70528 71858 74176 75392 109678 113216 115072 121024 134444 136648 143716 148352 219356 226432 242048 268888 273296 287432 438712 537776 546592 574864 877424 1041941 1075552 1093184 1149728 1754848 2083882 2151104 2186368 2299456 3509696 4167764 4302208 4598912 7019392 8335528 16671056 33342112 66684224 133368448