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90808848 = 243213179271
BaseRepresentation
bin1010110100110…
…10001000010000
320022212120022200
411122122020100
5141221340343
613002203200
72151601554
oct532321020
9208776280
1090808848
1147294039
12264b3500
1315a76160
14c0bb864
157e8b4d3
hex569a210

90808848 has 120 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 27682560.

The previous prime is 90808829. The next prime is 90808871. The reversal of 90808848 is 84880809.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334953 + ... + 335223.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 290808848 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 90808848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

90808848 is an abundant number, since it is smaller than the sum of its proper divisors (185423472).

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

90808848 is a wasteful number, since it uses less digits than its factorization.

90808848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 90808848 is about 9529.3676600287. The cubic root of 90808848 is about 449.4789821745.

The spelling of 90808848 in words is "ninety million, eight hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 179 208 234 271 312 358 468 537 542 624 716 813 936 1074 1084 1432 1611 1626 1872 2148 2168 2327 2439 2864 3222 3252 3523 4296 4336 4654 4878 6444 6504 6981 7046 8592 9308 9756 10569 12888 13008 13962 14092 18616 19512 20943 21138 25776 27924 28184 31707 37232 39024 41886 42276 48509 55848 56368 63414 83772 84552 97018 111696 126828 145527 167544 169104 194036 253656 291054 335088 388072 436581 507312 582108 630617 776144 873162 1164216 1261234 1746324 1891851 2328432 2522468 3492648 3783702 5044936 5675553 6985296 7567404 10089872 11351106 15134808 22702212 30269616 45404424 90808848