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90481356 = 223272367233
BaseRepresentation
bin1010110010010…
…10001011001100
320022020221002100
411121022023030
5141130400411
612551155100
72146036020
oct531121314
9208227070
1090481356
114708aa89
1226375a90
1315990084
14c034380
157e24456
hex564a2cc

90481356 has 144 divisors (see below), whose sum is σ = 278014464. Its totient is φ = 24254208.

The previous prime is 90481351. The next prime is 90481373. The reversal of 90481356 is 65318409.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90481356.

It is not an unprimeable number, because it can be changed into a prime (90481351) 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, 388216 + ... + 388448.

It is an arithmetic number, because the mean of its divisors is an integer number (1930656).

Almost surely, 290481356 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 90481356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232).

90481356 is an abundant number, since it is smaller than the sum of its proper divisors (187533108).

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

90481356 is a wasteful number, since it uses less digits than its factorization.

90481356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90481356 is about 9512.1688378624. The cubic root of 90481356 is about 448.9379993523.

It can be divided in two parts, 9048 and 1356, that added together give a square (10404 = 1022).

The spelling of 90481356 in words is "ninety million, four hundred eighty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 126 134 138 161 201 207 233 252 268 276 322 402 414 466 469 483 603 644 699 804 828 932 938 966 1206 1398 1407 1449 1541 1631 1876 1932 2097 2412 2796 2814 2898 3082 3262 4194 4221 4623 4893 5359 5628 5796 6164 6524 8388 8442 9246 9786 10718 10787 13869 14679 15611 16077 16884 18492 19572 21436 21574 27738 29358 31222 32154 32361 37513 43148 46833 48231 55476 58716 62444 64308 64722 75026 93666 96462 97083 109277 112539 129444 140499 150052 187332 192924 194166 218554 225078 280998 327831 337617 359053 388332 437108 450156 561996 655662 675234 718106 983493 1077159 1311324 1350468 1436212 1966986 2154318 2513371 3231477 3933972 4308636 5026742 6462954 7540113 10053484 12925908 15080226 22620339 30160452 45240678 90481356