Search a number
-
+
247740948 = 2232713471609
BaseRepresentation
bin11101100010000…
…11101000010100
3122021011112200200
432301003220110
51001410202243
640325540500
76065522550
oct1661035024
9567145620
10247740948
11117930494
126ab74730
133c4313a0
1424c8c860
1516b39ad3
hexec43a14

247740948 has 144 divisors (see below), whose sum is σ = 787637760. Its totient is φ = 63908352.

The previous prime is 247740917. The next prime is 247740953. The reversal of 247740948 is 849047742.

247740948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2477409482 = 122751154631877408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153168 + ... + 154776.

Almost surely, 2247740948 is an apocalyptic number.

247740948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247740948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393818880).

247740948 is an abundant number, since it is smaller than the sum of its proper divisors (539896812).

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

247740948 is a wasteful number, since it uses less digits than its factorization.

247740948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 247740948 is about 15739.7886898141. The cubic root of 247740948 is about 628.0572959476.

The spelling of 247740948 in words is "two hundred forty-seven million, seven hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 47 52 63 78 84 91 94 117 126 141 156 182 188 234 252 273 282 329 364 423 468 546 564 611 658 819 846 987 1092 1222 1316 1609 1638 1692 1833 1974 2444 2961 3218 3276 3666 3948 4277 4827 5499 5922 6436 7332 8554 9654 10998 11263 11844 12831 14481 17108 19308 20917 21996 22526 25662 28962 33789 38493 41834 45052 51324 57924 62751 67578 75623 76986 83668 101367 125502 135156 146419 151246 153972 188253 202734 226869 251004 292838 302492 376506 405468 439257 453738 529361 585676 680607 753012 878514 907476 983099 1058722 1317771 1361214 1588083 1757028 1966198 2117444 2635542 2722428 2949297 3176166 3932396 4764249 5271084 5898594 6352332 6881693 8847891 9528498 11797188 13763386 17695782 19056996 20645079 27526772 35391564 41290158 61935237 82580316 123870474 247740948