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5061312 = 263329101
BaseRepresentation
bin10011010011101011000000
3100112010211000
4103103223000
52243430222
6300252000
761010004
oct23235300
910463730
105061312
112947703
121841000
131082979
1495a704
1569e9ac
hex4d3ac0

5061312 has 112 divisors (see below), whose sum is σ = 15544800. Its totient is φ = 1612800.

The previous prime is 5061299. The next prime is 5061323. The reversal of 5061312 is 2131605.

5061312 is a `hidden beast` number, since 50 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×50613122 = 51233758322688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50062 + ... + 50162.

Almost surely, 25061312 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 5061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772400).

5061312 is an abundant number, since it is smaller than the sum of its proper divisors (10483488).

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

5061312 is a wasteful number, since it uses less digits than its factorization.

5061312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5061312 is about 2249.7359845102. The cubic root of 5061312 is about 171.6937040185.

Adding to 5061312 its reverse (2131605), we get a palindrome (7192917).

It can be divided in two parts, 50613 and 12, that added together give a 4-th power (50625 = 154).

The spelling of 5061312 in words is "five million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 101 108 116 144 174 192 202 216 232 261 288 303 348 404 432 464 522 576 606 696 783 808 864 909 928 1044 1212 1392 1566 1616 1728 1818 1856 2088 2424 2727 2784 2929 3132 3232 3636 4176 4848 5454 5568 5858 6264 6464 7272 8352 8787 9696 10908 11716 12528 14544 16704 17574 19392 21816 23432 25056 26361 29088 35148 43632 46864 50112 52722 58176 70296 79083 87264 93728 105444 140592 158166 174528 187456 210888 281184 316332 421776 562368 632664 843552 1265328 1687104 2530656 5061312