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51346152 = 233211134987
BaseRepresentation
bin1100001111011…
…1101011101000
310120121122200100
43003313223220
5101121034102
65032305400
71162302144
oct303675350
9116548610
1051346152
1126a90140
1215242260
13a83a050
146b68224
154793a1c
hex30f7ae8

51346152 has 96 divisors (see below), whose sum is σ = 163406880. Its totient is φ = 14359680.

The previous prime is 51346117. The next prime is 51346157. The reversal of 51346152 is 25164315.

It is not an unprimeable number, because it can be changed into a prime (51346157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7803 + ... + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (1702155).

Almost surely, 251346152 is an apocalyptic number.

51346152 is a gapful number since it is divisible by the number (52) 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 51346152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81703440).

51346152 is an abundant number, since it is smaller than the sum of its proper divisors (112060728).

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

51346152 is a wasteful number, since it uses less digits than its factorization.

51346152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5016 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51346152 is about 7165.6229317485. The cubic root of 51346152 is about 371.6800926420.

It can be divided in two parts, 513 and 46152, that added together give a triangular number (46665 = T305).

The spelling of 51346152 in words is "fifty-one million, three hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 4987 5148 9974 10296 14961 19948 29922 39896 44883 54857 59844 64831 89766 109714 119688 129662 164571 179532 194493 219428 259324 329142 359064 388986 438856 493713 518648 583479 658284 713141 777972 987426 1166958 1316568 1426282 1555944 1974852 2139423 2333916 2852564 3949704 4278846 4667832 5705128 6418269 8557692 12836538 17115384 25673076 51346152