Search a number
-
+
122889952 = 2531731697
BaseRepresentation
bin1110101001100…
…10011011100000
322120020110022201
413110302123200
5222424434302
620105542544
73021355513
oct724623340
9276213281
10122889952
1163406049
12351a4a54
131c5c9463
141246cd7a
15abc6c87
hex75326e0

122889952 has 48 divisors (see below), whose sum is σ = 253314432. Its totient is φ = 58613760.

The previous prime is 122889941. The next prime is 122889961. The reversal of 122889952 is 259988221.

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 7 ways as a sum of consecutive naturals, for example, 71568 + ... + 73264.

It is an arithmetic number, because the mean of its divisors is an integer number (5277384).

Almost surely, 2122889952 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 122889952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126657216).

122889952 is an abundant number, since it is smaller than the sum of its proper divisors (130424480).

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

122889952 is a wasteful number, since it uses less digits than its factorization.

122889952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The square root of 122889952 is about 11085.5740491866. The cubic root of 122889952 is about 497.1706221085.

The spelling of 122889952 in words is "one hundred twenty-two million, eight hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 992 1168 1697 2263 2336 3394 4526 6788 9052 13576 18104 27152 36208 52607 54304 72416 105214 123881 210428 247762 420856 495524 841712 991048 1683424 1982096 3840311 3964192 7680622 15361244 30722488 61444976 122889952