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242758971 = 33713293407
BaseRepresentation
bin11100111100000…
…11010100111011
3121220210102201000
432132003110323
5444121241341
640031100043
76005263050
oct1636032473
9556712630
10242758971
11115038454
1269371623
133b3a8880
1424353027
15164a38b6
hexe78353b

242758971 has 64 divisors (see below), whose sum is σ = 458035200. Its totient is φ = 123596928.

The previous prime is 242758927. The next prime is 242758973. The reversal of 242758971 is 179857242.

It is a happy number.

It is not a de Polignac number, because 242758971 - 26 = 242758907 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (242758973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69550 + ... + 72956.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2242758971 is an apocalyptic number.

242758971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242758971 is a deficient number, since it is larger than the sum of its proper divisors (215276229).

242758971 is a wasteful number, since it uses less digits than its factorization.

242758971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3459 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 242758971 is about 15580.7243413135. The cubic root of 242758971 is about 623.8187574588.

The spelling of 242758971 in words is "two hundred forty-two million, seven hundred fifty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 13 21 27 29 39 63 87 91 117 189 203 261 273 351 377 609 783 819 1131 1827 2457 2639 3393 3407 5481 7917 10179 10221 23751 23849 30663 44291 71253 71547 91989 98803 132873 214641 296409 310037 398619 643923 691621 889227 930111 1195857 1284439 2074863 2667681 2790333 3853317 6224589 8370999 8991073 11559951 18673767 26973219 34679853 80919657 242758971