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121856448 = 2637711277
BaseRepresentation
bin1110100001101…
…10000111000000
322111021221121210
413100312013000
5222143401243
620031450120
73006522420
oct720660700
9274257553
10121856448
116286a60a
1234986940
131c326c0c
1412280480
15aa70933
hex74361c0

121856448 has 112 divisors (see below), whose sum is σ = 373953024. Its totient is φ = 34298880.

The previous prime is 121856411. The next prime is 121856531. The reversal of 121856448 is 844658121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94786 + ... + 96062.

Almost surely, 2121856448 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 121856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186976512).

121856448 is an abundant number, since it is smaller than the sum of its proper divisors (252096576).

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

121856448 is a wasteful number, since it uses less digits than its factorization.

121856448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 121856448 is about 11038.8608107902. The cubic root of 121856448 is about 495.7729623427.

The spelling of 121856448 in words is "one hundred twenty-one million, eight hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1277 1344 1491 1704 1988 2272 2554 2982 3408 3831 3976 4544 5108 5964 6816 7662 7952 8939 10216 11928 13632 15324 15904 17878 20432 23856 26817 30648 31808 35756 40864 47712 53634 61296 71512 81728 90667 95424 107268 122592 143024 181334 214536 245184 272001 286048 362668 429072 544002 572096 634669 725336 858144 1088004 1269338 1450672 1716288 1904007 2176008 2538676 2901344 3808014 4352016 5077352 5802688 7616028 8704032 10154704 15232056 17408064 20309408 30464112 40618816 60928224 121856448