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5351616 = 263319163
BaseRepresentation
bin10100011010100011000000
3101001220001000
4110122203000
52332222431
6310412000
763326244
oct24324300
911056030
105351616
113025826
121961000
131154b4a
149d4424
1570a9e6
hex51a8c0

5351616 has 112 divisors (see below), whose sum is σ = 16662400. Its totient is φ = 1679616.

The previous prime is 5351611. The next prime is 5351657. The reversal of 5351616 is 6161535.

It is a happy number.

It is a super-2 number, since 2×53516162 = 57279587622912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5351616.

It is not an unprimeable number, because it can be changed into a prime (5351611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32751 + ... + 32913.

Almost surely, 25351616 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 5351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331200).

5351616 is an abundant number, since it is smaller than the sum of its proper divisors (11310784).

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

5351616 is a wasteful number, since it uses less digits than its factorization.

5351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5351616 is about 2313.3560037314. The cubic root of 5351616 is about 174.9155075117.

The spelling of 5351616 in words is "five million, three hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 163 171 192 216 228 288 304 326 342 432 456 489 513 576 608 652 684 864 912 978 1026 1216 1304 1368 1467 1728 1824 1956 2052 2608 2736 2934 3097 3648 3912 4104 4401 5216 5472 5868 6194 7824 8208 8802 9291 10432 10944 11736 12388 15648 16416 17604 18582 23472 24776 27873 31296 32832 35208 37164 46944 49552 55746 70416 74328 83619 93888 99104 111492 140832 148656 167238 198208 222984 281664 297312 334476 445968 594624 668952 891936 1337904 1783872 2675808 5351616