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2500100028 = 22321931157751
BaseRepresentation
bin1001010100000100…
…0111111110111100
320110020101020111100
42111001013332330
520110011200103
61052025453100
7115645333236
oct22501077674
96406336440
102500100028
111073272178
12599341190
1330ac65b3a
1419a079256
15e974a5a3
hex95047fbc

2500100028 has 144 divisors (see below), whose sum is σ = 6919843840. Its totient is φ = 758160000.

The previous prime is 2500100017. The next prime is 2500100051. The reversal of 2500100028 is 8200010052.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328653 + ... + 3329403.

Almost surely, 22500100028 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 2500100028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459921920).

2500100028 is an abundant number, since it is smaller than the sum of its proper divisors (4419743812).

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

2500100028 is a wasteful number, since it uses less digits than its factorization.

2500100028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2500100028 is about 50001.0002699946. Note that the first 3 decimals coincide. The cubic root of 2500100028 is about 1357.2269092404.

The spelling of 2500100028 in words is "two billion, five hundred million, one hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 157 171 186 228 279 314 342 372 471 558 589 628 684 751 942 1116 1178 1413 1502 1767 1884 2253 2356 2826 2983 3004 3534 4506 4867 5301 5652 5966 6759 7068 8949 9012 9734 10602 11932 13518 14269 14601 17898 19468 21204 23281 26847 27036 28538 29202 35796 42807 43803 46562 53694 57076 58404 69843 85614 87606 92473 93124 107388 117907 128421 139686 171228 175212 184946 209529 235814 256842 277419 279372 353721 369892 419058 442339 471628 513684 554838 707442 832257 838116 884678 1061163 1109676 1327017 1414884 1664514 1769356 2122326 2240233 2654034 3329028 3655117 3981051 4244652 4480466 5308068 6720699 7310234 7962102 8960932 10965351 13441398 14620468 15924204 20162097 21930702 26882796 32896053 40324194 43861404 65792106 69447223 80648388 131584212 138894446 208341669 277788892 416683338 625025007 833366676 1250050014 2500100028