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245496096 = 2535131241
BaseRepresentation
bin11101010000111…
…11100100100000
3122002221111100000
432220133210200
51000321333341
640205500000
76040453026
oct1650374440
9562844300
10245496096
1111663793a
126a271600
133bb26681
1424866716
15168448b6
hexea1f920

245496096 has 144 divisors (see below), whose sum is σ = 732539808. Its totient is φ = 80870400.

The previous prime is 245496091. The next prime is 245496103. The reversal of 245496096 is 690694542.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (245496091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1018536 + ... + 1018776.

It is an arithmetic number, because the mean of its divisors is an integer number (5087082).

Almost surely, 2245496096 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 245496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366269904).

245496096 is an abundant number, since it is smaller than the sum of its proper divisors (487043712).

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

245496096 is a wasteful number, since it uses less digits than its factorization.

245496096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

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

The square root of 245496096 is about 15668.3150338510. The cubic root of 245496096 is about 626.1545345534.

The spelling of 245496096 in words is "two hundred forty-five million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 241 243 262 288 324 393 432 482 486 524 648 723 786 864 964 972 1048 1179 1296 1446 1572 1928 1944 2096 2169 2358 2592 2892 3144 3537 3856 3888 4192 4338 4716 5784 6288 6507 7074 7712 7776 8676 9432 10611 11568 12576 13014 14148 17352 18864 19521 21222 23136 26028 28296 31571 31833 34704 37728 39042 42444 52056 56592 58563 63142 63666 69408 78084 84888 94713 104112 113184 117126 126284 127332 156168 169776 189426 208224 234252 252568 254664 284139 312336 339552 378852 468504 505136 509328 568278 624672 757704 852417 937008 1010272 1018656 1136556 1515408 1704834 1874016 2273112 2557251 3030816 3409668 4546224 5114502 6819336 7671753 9092448 10229004 13638672 15343506 20458008 27277344 30687012 40916016 61374024 81832032 122748048 245496096