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245930832 = 243271912841
BaseRepresentation
bin11101010100010…
…01101101010000
3122010202120200100
432222021231100
51000424241312
640223052400
76044243340
oct1652115520
9563676610
10245930832
11116904524
126a441100
133bc49504
142493ad20
15168cd5dc
hexea89b50

245930832 has 120 divisors (see below), whose sum is σ = 828052160. Its totient is φ = 66562560.

The previous prime is 245930809. The next prime is 245930863. The reversal of 245930832 is 238039542.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 12732 + ... + 25572.

Almost surely, 2245930832 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 245930832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414026080).

245930832 is an abundant number, since it is smaller than the sum of its proper divisors (582121328).

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

245930832 is a wasteful number, since it uses less digits than its factorization.

245930832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 245930832 is about 15682.1819910368. The cubic root of 245930832 is about 626.5239245331.

The spelling of 245930832 in words is "two hundred forty-five million, nine hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 12841 19152 25682 38523 51364 77046 89887 102728 115569 154092 179774 205456 231138 243979 269661 308184 359548 462276 487958 539322 616368 719096 731937 808983 924552 975916 1078644 1438192 1463874 1617966 1707853 1849104 1951832 2157288 2195811 2927748 3235932 3415706 3903664 4314576 4391622 5123559 5855496 6471864 6831412 8783244 10247118 11710992 12943728 13662824 15370677 17566488 20494236 27325648 30741354 35132976 40988472 61482708 81976944 122965416 245930832