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242966952 = 23391543
BaseRepresentation
bin11100111101101…
…10000110101000
3121221012000000000
432132312012220
5444144420302
640035343000
76010120314
oct1636660650
9557160000
10242966952
1111516a738
1269451a60
133b44c437
14243a8b44
15164e531c
hexe7b61a8

242966952 has 80 divisors (see below), whose sum is σ = 683775840. Its totient is φ = 80936496.

The previous prime is 242966951. The next prime is 242966957. The reversal of 242966952 is 259669242.

It is a junction number, because it is equal to n+sod(n) for n = 242966898 and 242966907.

It is not an unprimeable number, because it can be changed into a prime (242966951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156693 + ... + 158235.

It is an arithmetic number, because the mean of its divisors is an integer number (8547198).

Almost surely, 2242966952 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 242966952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341887920).

242966952 is an abundant number, since it is smaller than the sum of its proper divisors (440808888).

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

242966952 is an frugal number, since it uses more digits than its factorization.

242966952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1548 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 242966952 is about 15587.3972169827. The cubic root of 242966952 is about 623.9968564930.

The spelling of 242966952 in words is "two hundred forty-two million, nine hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1543 1944 2187 2916 3086 4374 4629 5832 6172 6561 8748 9258 12344 13122 13887 17496 18516 19683 26244 27774 37032 39366 41661 52488 55548 78732 83322 111096 124983 157464 166644 249966 333288 374949 499932 749898 999864 1124847 1499796 2249694 2999592 3374541 4499388 6749082 8998776 10123623 13498164 20247246 26996328 30370869 40494492 60741738 80988984 121483476 242966952