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51315390 = 23357191429
BaseRepresentation
bin1100001111000…
…0001010111110
310120120002111000
43003300022332
5101114043030
65031511130
71162113360
oct303601276
9116502430
1051315390
1126a6a015
12152284a6
13a829049
146b5ad30
154789860
hex30f02be

51315390 has 128 divisors (see below), whose sum is σ = 164736000. Its totient is φ = 11104128.

The previous prime is 51315389. The next prime is 51315391. The reversal of 51315390 is 9351315.

51315390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51315389) and next prime (51315391).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51315391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35196 + ... + 36624.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 251315390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51315390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82368000).

51315390 is an abundant number, since it is smaller than the sum of its proper divisors (113420610).

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

51315390 is a wasteful number, since it uses less digits than its factorization.

51315390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 51315390 is about 7163.4761114978. The cubic root of 51315390 is about 371.6058520439.

The spelling of 51315390 in words is "fifty-one million, three hundred fifteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1429 1710 1890 1995 2394 2565 2858 3591 3990 4287 5130 5985 7145 7182 8574 10003 11970 12861 14290 17955 20006 21435 25722 27151 30009 35910 38583 42870 50015 54302 60018 64305 77166 81453 90027 100030 128610 135755 150045 162906 180054 190057 192915 244359 270081 271510 300090 380114 385830 407265 450135 488718 540162 570171 733077 814530 900270 950285 1140342 1221795 1350405 1466154 1710513 1900570 2443590 2700810 2850855 3421026 3665385 5131539 5701710 7330770 8552565 10263078 17105130 25657695 51315390