Search a number
-
+
91004472 = 2335132277
BaseRepresentation
bin1010110110010…
…01111000111000
320100020111200000
411123021320320
5141244120342
613010313000
72153345106
oct533117070
9210214600
1091004472
1147408009
1226588760
1315b14200
14c12cc76
157ec944c
hex56c9e38

91004472 has 144 divisors (see below), whose sum is σ = 277772040. Its totient is φ = 27900288.

The previous prime is 91004467. The next prime is 91004483. The reversal of 91004472 is 27440019.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328398 + ... + 328674.

Almost surely, 291004472 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 91004472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138886020).

91004472 is an abundant number, since it is smaller than the sum of its proper divisors (186767568).

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

91004472 is a wasteful number, since it uses less digits than its factorization.

91004472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 91004472 is about 9539.6264077793. The cubic root of 91004472 is about 449.8015124633.

It can be divided in two parts, 910044 and 72, that added together give a square (910116 = 9542).

The spelling of 91004472 in words is "ninety-one million, four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 277 312 324 338 351 468 486 507 554 648 676 702 831 936 972 1014 1053 1108 1352 1404 1521 1662 1944 2028 2106 2216 2493 2808 3042 3159 3324 3601 4056 4212 4563 4986 6084 6318 6648 7202 7479 8424 9126 9972 10803 12168 12636 13689 14404 14958 18252 19944 21606 22437 25272 27378 28808 29916 32409 36504 41067 43212 44874 46813 54756 59832 64818 67311 82134 86424 89748 93626 97227 109512 129636 134622 140439 164268 179496 187252 194454 259272 269244 280878 291681 328536 374504 388908 421317 538488 561756 583362 777816 842634 875043 1123512 1166724 1263951 1685268 1750086 2333448 2527902 3370536 3500172 3791853 5055804 7000344 7583706 10111608 11375559 15167412 22751118 30334824 45502236 91004472