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121808448 = 263423497
BaseRepresentation
bin1110100001010…
…10011001000000
322111012111210000
413100222121000
5222140332243
620030440000
73006232446
oct720523100
9274174700
10121808448
1162837543
1234963000
131c30b108
141226ab96
15aa615d3
hex742a640

121808448 has 70 divisors (see below), whose sum is σ = 361093766. Its totient is φ = 40601088.

The previous prime is 121808431. The next prime is 121808459. The reversal of 121808448 is 844808121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 115089984 + 6718464 = 10728^2 + 2592^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6565 + ... + 16932.

Almost surely, 2121808448 is an apocalyptic number.

121808448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121808448 is an abundant number, since it is smaller than the sum of its proper divisors (239285318).

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

121808448 is an equidigital number, since it uses as much as digits as its factorization.

121808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23521 (or 23502 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 121808448 is about 11036.6864592594. The cubic root of 121808448 is about 495.7078577931.

The spelling of 121808448 in words is "one hundred twenty-one million, eight hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 23497 46994 70491 93988 140982 187976 211473 281964 375952 422946 563928 634419 751904 845892 1127856 1268838 1503808 1691784 1903257 2255712 2537676 3383568 3806514 4511424 5075352 6767136 7613028 10150704 13534272 15226056 20301408 30452112 40602816 60904224 121808448