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51407190 = 2335474051
BaseRepresentation
bin1100010000011…
…0100101010110
310120201202102000
43010012211112
5101130012230
65033500130
71162645122
oct304064526
9116652360
1051407190
1127021a8a
1215271646
13a85ba73
146b82582
1547a6b60
hex3106956

51407190 has 64 divisors (see below), whose sum is σ = 140037120. Its totient is φ = 13413600.

The previous prime is 51407183. The next prime is 51407243. The reversal of 51407190 is 9170415.

It is a super-2 number, since 2×514071902 = 5285398367392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10665 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (2188080).

Almost surely, 251407190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51407190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70018560).

51407190 is an abundant number, since it is smaller than the sum of its proper divisors (88629930).

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

51407190 is a wasteful number, since it uses less digits than its factorization.

51407190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51407190 is about 7169.8807521464. The cubic root of 51407190 is about 371.8273131894.

The spelling of 51407190 in words is "fifty-one million, four hundred seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4051 4230 6345 8102 12153 12690 20255 24306 36459 40510 60765 72918 109377 121530 182295 190397 218754 364590 380794 546885 571191 951985 1093770 1142382 1713573 1903970 2855955 3427146 5140719 5711910 8567865 10281438 17135730 25703595 51407190