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1998045294 = 2373147103317
BaseRepresentation
bin111011100010111…
…1100000001101110
312011020200012212120
41313011330001232
513042444422134
6530133013410
7100341050640
oct16705740156
95136605776
101998045294
11935932003
12479184266
1325ac4172b
1414d50a890
15ba628649
hex7717c06e

1998045294 has 128 divisors (see below), whose sum is σ = 4876664832. Its totient is φ = 533761920.

The previous prime is 1998045289. The next prime is 1998045307. The reversal of 1998045294 is 4925408991.

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 63 ways as a sum of consecutive naturals, for example, 6302824 + ... + 6303140.

It is an arithmetic number, because the mean of its divisors is an integer number (38098944).

Almost surely, 21998045294 is an apocalyptic number.

1998045294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998045294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438332416).

1998045294 is an abundant number, since it is smaller than the sum of its proper divisors (2878619538).

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

1998045294 is a wasteful number, since it uses less digits than its factorization.

1998045294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 1998045294 is about 44699.4999300887. The cubic root of 1998045294 is about 1259.5104535607.

The spelling of 1998045294 in words is "one billion, nine hundred ninety-eight million, forty-five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 103 141 186 206 217 282 309 317 329 434 618 634 651 658 721 951 987 1302 1442 1457 1902 1974 2163 2219 2914 3193 4326 4371 4438 4841 6386 6657 8742 9579 9682 9827 10199 13314 14523 14899 19158 19654 20398 22351 29046 29481 29798 30597 32651 33887 44697 44702 58962 61194 65302 67053 67774 68789 89394 97953 101661 104293 134106 137578 150071 195906 203322 206367 208586 228557 300142 312879 412734 450213 457114 461869 625758 685671 900426 923738 1012181 1050497 1371342 1385607 1534597 2024362 2100994 2771214 3036543 3069194 3151491 3233083 4603791 6073086 6302982 6466166 7085267 9207582 9699249 10742179 14170534 19398498 21255801 21484358 32226537 42511602 47572507 64453074 95145014 142717521 285435042 333007549 666015098 999022647 1998045294