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51098320 = 2457137019
BaseRepresentation
bin1100001011101…
…1001011010000
310120011001201101
43002323023100
5101040121240
65023114144
71160220460
oct302731320
9116131641
1051098320
1126930a19
1215142954
13a7812c0
146b01ba0
15474539a
hex30bb2d0

51098320 has 80 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 16169472.

The previous prime is 51098317. The next prime is 51098347. The reversal of 51098320 is 2389015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×510983202 = 5222076613644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3771 + ... + 10789.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 251098320 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 51098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

51098320 is an abundant number, since it is smaller than the sum of its proper divisors (95142320).

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

51098320 is a wasteful number, since it uses less digits than its factorization.

51098320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 51098320 is about 7148.3088909196. The cubic root of 51098320 is about 371.0811329790.

The spelling of 51098320 in words is "fifty-one million, ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7019 7280 14038 28076 35095 49133 56152 70190 91247 98266 112304 140380 182494 196532 245665 280760 364988 393064 456235 491330 561520 638729 729976 786128 912470 982660 1277458 1459952 1824940 1965320 2554916 3193645 3649880 3930640 5109832 6387290 7299760 10219664 12774580 25549160 51098320