Search a number
-
+
51402384 = 24331129373
BaseRepresentation
bin1100010000010…
…1011010010000
310120201111211000
43010011122100
5101124334014
65033422000
71162625115
oct304053220
9116644730
1051402384
1127019410
121526a900
13a859817
146b8090c
1547a5509
hex3105690

51402384 has 160 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 14999040.

The previous prime is 51402359. The next prime is 51402389. The reversal of 51402384 is 48320415.

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

It is not an unprimeable number, because it can be changed into a prime (51402389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137622 + ... + 137994.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 251402384 is an apocalyptic number.

51402384 is a gapful number since it is divisible by the number (54) 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 51402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

51402384 is an abundant number, since it is smaller than the sum of its proper divisors (115551216).

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

51402384 is a wasteful number, since it uses less digits than its factorization.

51402384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51402384 is about 7169.5455922952. The cubic root of 51402384 is about 371.8157255901.

Adding to 51402384 its reverse (48320415), we get a palindrome (99722799).

The spelling of 51402384 in words is "fifty-one million, four hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 373 396 432 464 522 528 594 638 696 746 783 792 957 1044 1119 1188 1276 1392 1492 1566 1584 1914 2088 2238 2376 2552 2871 2984 3132 3357 3828 4103 4176 4476 4752 5104 5742 5968 6264 6714 7656 8206 8613 8952 10071 10817 11484 12309 12528 13428 15312 16412 17226 17904 20142 21634 22968 24618 26856 32451 32824 34452 36927 40284 43268 45936 49236 53712 64902 65648 68904 73854 80568 86536 97353 98472 110781 118987 129804 137808 147708 161136 173072 194706 196944 221562 237974 259608 292059 295416 356961 389412 443124 475948 519216 584118 590832 713922 778824 886248 951896 1070883 1168236 1427844 1557648 1772496 1903792 2141766 2336472 2855688 3212649 4283532 4672944 5711376 6425298 8567064 12850596 17134128 25701192 51402384