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245650416 = 243112961263
BaseRepresentation
bin11101010010001…
…01001111110000
3122010020100000120
432221011033300
51000341303131
640213050240
76041664654
oct1651051760
9563210016
10245650416
11116732880
126a326980
133bb7b99b
14248a6a64
1516875496
hexea453f0

245650416 has 160 divisors (see below), whose sum is σ = 730667520. Its totient is φ = 70425600.

The previous prime is 245650409. The next prime is 245650429. The reversal of 245650416 is 614056542.

245650416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933901 + ... + 934163.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2245650416 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 245650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

245650416 is an abundant number, since it is smaller than the sum of its proper divisors (485017104).

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

245650416 is a wasteful number, since it uses less digits than its factorization.

245650416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 245650416 is about 15673.2388484321. The cubic root of 245650416 is about 626.2857082997.

The spelling of 245650416 in words is "two hundred forty-five million, six hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 61 66 87 88 116 122 132 174 176 183 232 244 263 264 319 348 366 464 488 526 528 638 671 696 732 789 957 976 1052 1276 1342 1392 1464 1578 1769 1914 2013 2104 2552 2684 2893 2928 3156 3538 3828 4026 4208 5104 5307 5368 5786 6312 7076 7627 7656 8052 8679 10614 10736 11572 12624 14152 15254 15312 16043 16104 17358 19459 21228 22881 23144 28304 30508 32086 32208 34716 38918 42456 45762 46288 48129 58377 61016 64172 69432 77836 83897 84912 91524 96258 116754 122032 128344 138864 155672 167794 176473 183048 192516 233508 251691 256688 311344 335588 352946 366096 385032 465247 467016 503382 529419 671176 705892 770064 930494 934032 1006764 1058838 1342352 1395741 1411784 1860988 2013528 2117676 2791482 2823568 3721976 4027056 4235352 5117717 5582964 7443952 8470704 10235434 11165928 15353151 20470868 22331856 30706302 40941736 61412604 81883472 122825208 245650416