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1998625428 = 223519313491
BaseRepresentation
bin111011100100000…
…1001101010010100
312011021202200200000
41313020021222110
513043122003203
6530153251300
7100346015202
oct16710115224
95137680600
101998625428
11936198958
12479403b30
1325b0b57c7
1414d61c072
15ba6e04a3
hex77209a94

1998625428 has 144 divisors (see below), whose sum is σ = 5694474240. Its totient is φ = 610610400.

The previous prime is 1998625427. The next prime is 1998625441. The reversal of 1998625428 is 8245268991.

It is a happy number.

1998625428 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 625 + 4 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998625427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570763 + ... + 574253.

It is an arithmetic number, because the mean of its divisors is an integer number (39544960).

Almost surely, 21998625428 is an apocalyptic number.

1998625428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998625428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847237120).

1998625428 is an abundant number, since it is smaller than the sum of its proper divisors (3695848812).

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

1998625428 is a wasteful number, since it uses less digits than its factorization.

1998625428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3546 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1998625428 is about 44705.9887263440. The cubic root of 1998625428 is about 1259.6323417102.

The spelling of 1998625428 in words is "one billion, nine hundred ninety-eight million, six hundred twenty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 486 513 558 589 684 837 972 1026 1116 1178 1539 1674 1767 2052 2356 2511 3078 3348 3491 3534 4617 5022 5301 6156 6982 7068 7533 9234 10044 10473 10602 13964 15066 15903 18468 20946 21204 30132 31419 31806 41892 47709 62838 63612 66329 94257 95418 108221 125676 132658 143127 188514 190836 198987 216442 265316 282771 286254 324663 377028 397974 432884 565542 572508 596961 649326 795948 848313 973989 1131084 1193922 1298652 1696626 1790883 1947978 2056199 2387844 2921967 3393252 3581766 3895956 4112398 5372649 5843934 6168597 7163532 8224796 8765901 10745298 11687868 12337194 16117947 17531802 18505791 21490596 24674388 26297703 32235894 35063604 37011582 52595406 55517373 64471788 74023164 105190812 111034746 166552119 222069492 333104238 499656357 666208476 999312714 1998625428