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241504896 = 2731979419
BaseRepresentation
bin11100110010100…
…01001010000000
3121211102201102210
432121101022000
5443311124041
635544142120
75661520623
oct1631211200
9554381383
10241504896
11114361226
1268a67940
133b059b09
1424107dba
1516307016
hexe651280

241504896 has 128 divisors (see below), whose sum is σ = 685440000. Its totient is φ = 75119616.

The previous prime is 241504889. The next prime is 241504897. The reversal of 241504896 is 698405142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2415048962 = 116649229583941632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241504897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576175 + ... + 576593.

It is an arithmetic number, because the mean of its divisors is an integer number (5355000).

Almost surely, 2241504896 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 241504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720000).

241504896 is an abundant number, since it is smaller than the sum of its proper divisors (443935104).

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

241504896 is a wasteful number, since it uses less digits than its factorization.

241504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 241504896 is about 15540.4277933395. The cubic root of 241504896 is about 622.7427017691.

The spelling of 241504896 in words is "two hundred forty-one million, five hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 304 316 384 419 456 474 608 632 838 912 948 1216 1257 1264 1501 1676 1824 1896 2432 2514 2528 3002 3352 3648 3792 4503 5028 5056 6004 6704 7296 7584 7961 9006 10056 10112 12008 13408 15168 15922 18012 20112 23883 24016 26816 30336 31844 33101 36024 40224 47766 48032 53632 63688 66202 72048 80448 95532 96064 99303 127376 132404 144096 160896 191064 192128 198606 254752 264808 288192 382128 397212 509504 529616 576384 628919 764256 794424 1019008 1059232 1257838 1528512 1588848 1886757 2118464 2515676 3057024 3177696 3773514 4236928 5031352 6355392 7547028 10062704 12710784 15094056 20125408 30188112 40250816 60376224 80501632 120752448 241504896