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51073400 = 235271912
BaseRepresentation
bin1100001011010…
…1000101111000
310120002210112102
43002311011320
5101033322100
65022402532
71160055020
oct302650570
9116083472
1051073400
1126914224
1215130448
13a772b61
146ad6a80
15473ccd5
hex30b5178

51073400 has 72 divisors (see below), whose sum is σ = 136423560. Its totient is φ = 17419200.

The previous prime is 51073391. The next prime is 51073403. The reversal of 51073400 is 437015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51073403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267305 + ... + 267495.

Almost surely, 251073400 is an apocalyptic number.

51073400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68211780).

51073400 is an abundant number, since it is smaller than the sum of its proper divisors (85350160).

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

51073400 is a wasteful number, since it uses less digits than its factorization.

51073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 51073400 is about 7146.5656087382. The cubic root of 51073400 is about 371.0207993221.

The spelling of 51073400 in words is "fifty-one million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 191 200 280 350 382 700 764 955 1337 1400 1528 1910 2674 3820 4775 5348 6685 7640 9550 10696 13370 19100 26740 33425 36481 38200 53480 66850 72962 133700 145924 182405 255367 267400 291848 364810 510734 729620 912025 1021468 1276835 1459240 1824050 2042936 2553670 3648100 5107340 6384175 7296200 10214680 12768350 25536700 51073400