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90404028 = 22321113171033
BaseRepresentation
bin1010110001101…
…11010010111100
320022010000000100
411120313102330
5141120412103
612545401100
72145264411
oct530672274
9208100010
1090404028
1147037980
1226339190
1315963b10
14c014108
157e0b5a3
hex56374bc

90404028 has 144 divisors (see below), whose sum is σ = 284540256. Its totient is φ = 23777280.

The previous prime is 90404023. The next prime is 90404047. The reversal of 90404028 is 82040409.

It is a junction number, because it is equal to n+sod(n) for n = 90403992 and 90404010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90404021) 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, 87000 + ... + 88032.

It is an arithmetic number, because the mean of its divisors is an integer number (1975974).

Almost surely, 290404028 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 90404028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142270128).

90404028 is an abundant number, since it is smaller than the sum of its proper divisors (194136228).

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

90404028 is a wasteful number, since it uses less digits than its factorization.

90404028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90404028 is about 9508.1032808863. The cubic root of 90404028 is about 448.8100710753.

The spelling of 90404028 in words is "ninety million, four hundred four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1033 1122 1287 1326 1683 1716 1989 2066 2244 2431 2574 2652 3099 3366 3978 4132 4862 5148 6198 6732 7293 7956 9297 9724 11363 12396 13429 14586 17561 18594 21879 22726 26858 29172 34089 35122 37188 40287 43758 45452 52683 53716 68178 70244 80574 87516 102267 105366 120861 136356 147719 158049 161148 193171 204534 210732 228293 241722 295438 316098 386342 409068 443157 456586 483444 579513 590876 632196 684879 772684 886314 913172 1159026 1329471 1369758 1738539 1772628 2054637 2318052 2511223 2658942 2739516 3477078 4109274 5022446 5317884 6954156 7533669 8218548 10044892 15067338 22601007 30134676 45202014 90404028