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51254016 = 283116067
BaseRepresentation
bin1100001110000…
…1001100000000
310120102222021220
43003201030000
5101110112031
65030315040
71161436422
oct303411400
9116388256
1051254016
1126a279a0
12151b8a80
13a807128
146b42812
154776596
hex30e1300

51254016 has 72 divisors (see below), whose sum is σ = 148835904. Its totient is φ = 15528960.

The previous prime is 51254009. The next prime is 51254023. The reversal of 51254016 is 61045215.

It is an interprime number because it is at equal distance from previous prime (51254009) and next prime (51254023).

It is a super-2 number, since 2×512540162 = 5253948312256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5415 + ... + 11481.

Almost surely, 251254016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74417952).

51254016 is an abundant number, since it is smaller than the sum of its proper divisors (97581888).

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

51254016 is a wasteful number, since it uses less digits than its factorization.

51254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51254016 is about 7159.1910157503. The cubic root of 51254016 is about 371.4576441600.

The spelling of 51254016 in words is "fifty-one million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6067 8448 12134 18201 24268 36402 48536 66737 72804 97072 133474 145608 194144 200211 266948 291216 388288 400422 533896 582432 776576 800844 1067792 1164864 1553152 1601688 2135584 2329728 3203376 4271168 4659456 6406752 8542336 12813504 17084672 25627008 51254016