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51383430 = 2335731877
BaseRepresentation
bin1100010000000…
…0110010000110
310120200112211000
43010000302012
5101123232210
65033154130
71162515630
oct304006206
9116615730
1051383430
112700614a
121525b946
13a850cc7
146b77a50
15479eac0
hex3100c86

51383430 has 128 divisors (see below), whose sum is σ = 161832960. Its totient is φ = 11352960.

The previous prime is 51383419. The next prime is 51383441. The reversal of 51383430 is 3438315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51383419) and next prime (51383441).

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

It is a junction number, because it is equal to n+sod(n) for n = 51383394 and 51383403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58152 + ... + 59028.

It is an arithmetic number, because the mean of its divisors is an integer number (1264320).

Almost surely, 251383430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51383430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80916480).

51383430 is an abundant number, since it is smaller than the sum of its proper divisors (110449530).

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

51383430 is a wasteful number, since it uses less digits than its factorization.

51383430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 51383430 is about 7168.2236293241. The cubic root of 51383430 is about 371.7700191390.

The spelling of 51383430 in words is "fifty-one million, three hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 877 930 945 1085 1302 1395 1674 1754 1890 1953 2170 2631 2790 3255 3906 4185 4385 5262 5859 6139 6510 7893 8370 8770 9765 11718 12278 13155 15786 18417 19530 23679 26310 27187 29295 30695 36834 39465 47358 54374 55251 58590 61390 78930 81561 92085 110502 118395 135935 163122 165753 184170 190309 236790 244683 271870 276255 331506 380618 407805 489366 552510 570927 734049 815610 828765 951545 1141854 1223415 1468098 1657530 1712781 1903090 2446830 2854635 3425562 3670245 5138343 5709270 7340490 8563905 10276686 17127810 25691715 51383430