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501152028 = 22313131137179
BaseRepresentation
bin11101110111101…
…111100100011100
31021221000011100020
4131313233210130
52011243331103
6121421232140
715263502426
oct3567574434
91257004306
10501152028
11237983a33
1211ba02650
137ca99580
144a7b5816
152dee4753
hex1ddef91c

501152028 has 96 divisors (see below), whose sum is σ = 1285320960. Its totient is φ = 151057920.

The previous prime is 501152017. The next prime is 501152059. The reversal of 501152028 is 820251105.

It is a junction number, because it is equal to n+sod(n) for n = 501151989 and 501152007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799643 + ... + 2799821.

It is an arithmetic number, because the mean of its divisors is an integer number (13388760).

Almost surely, 2501152028 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 501152028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

501152028 is an abundant number, since it is smaller than the sum of its proper divisors (784168932).

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

501152028 is a wasteful number, since it uses less digits than its factorization.

501152028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 501152028 is about 22386.4250830721. The cubic root of 501152028 is about 794.3096352358.

The spelling of 501152028 in words is "five hundred one million, one hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 137 156 179 262 274 358 393 411 524 537 548 716 786 822 1074 1572 1644 1703 1781 2148 2327 3406 3562 4654 5109 5343 6812 6981 7124 9308 10218 10686 13962 17947 20436 21372 23449 24523 27924 35894 46898 49046 53841 70347 71788 73569 93796 98092 107682 140694 147138 215364 233311 281388 294276 304837 318799 466622 609674 637598 699933 914511 933244 956397 1219348 1275196 1399866 1829022 1912794 2799732 3212513 3658044 3825588 6425026 9637539 12850052 19275078 38550156 41762669 83525338 125288007 167050676 250576014 501152028