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90491904 = 210341091
BaseRepresentation
bin1010110010011…
…00110000000000
320022021110120000
411121030300000
5141131220104
612551320000
72146111536
oct531146000
9208243500
1090491904
11470979a8
1226380000
1315994b09
14c038156
157e27639
hex564cc00

90491904 has 110 divisors (see below), whose sum is σ = 270474204. Its totient is φ = 30136320.

The previous prime is 90491887. The next prime is 90491923. The reversal of 90491904 is 40919409.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82399 + ... + 83489.

Almost surely, 290491904 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 90491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135237102).

90491904 is an abundant number, since it is smaller than the sum of its proper divisors (179982300).

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

90491904 is a wasteful number, since it uses less digits than its factorization.

90491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90491904 is about 9512.7232693903. The cubic root of 90491904 is about 448.9554438817.

The spelling of 90491904 in words is "ninety million, four hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1091 1152 1296 1536 1728 2182 2304 2592 3072 3273 3456 4364 4608 5184 6546 6912 8728 9216 9819 10368 13092 13824 17456 19638 20736 26184 27648 29457 34912 39276 41472 52368 58914 69824 78552 82944 88371 104736 117828 139648 157104 176742 209472 235656 279296 314208 353484 418944 471312 558592 628416 706968 837888 942624 1117184 1256832 1413936 1675776 1885248 2513664 2827872 3351552 3770496 5027328 5655744 7540992 10054656 11311488 15081984 22622976 30163968 45245952 90491904