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90422784 = 293331211
BaseRepresentation
bin1010110001110…
…11111000000000
320022010221202000
411120323320000
5141122012114
612550024000
72145403164
oct530737000
9208127660
1090422784
114704aa81
1226348000
131596c50a
14c01aca4
157e11e09
hex563be00

90422784 has 160 divisors (see below), whose sum is σ = 277601280. Its totient is φ = 29030400.

The previous prime is 90422777. The next prime is 90422791. The reversal of 90422784 is 48722409.

It is an interprime number because it is at equal distance from previous prime (90422777) and next prime (90422791).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428439 + ... + 428649.

It is an arithmetic number, because the mean of its divisors is an integer number (1735008).

Almost surely, 290422784 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 90422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138800640).

90422784 is an abundant number, since it is smaller than the sum of its proper divisors (187178496).

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

90422784 is a wasteful number, since it uses less digits than its factorization.

90422784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 90422784 is about 9509.0895463236. The cubic root of 90422784 is about 448.8411069328.

The spelling of 90422784 in words is "ninety million, four hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 211 216 248 256 279 288 372 384 422 432 496 512 558 576 633 744 768 837 844 864 992 1116 1152 1266 1488 1536 1674 1688 1728 1899 1984 2232 2304 2532 2976 3348 3376 3456 3798 3968 4464 4608 5064 5697 5952 6541 6696 6752 6912 7596 7936 8928 10128 11394 11904 13082 13392 13504 13824 15192 15872 17856 19623 20256 22788 23808 26164 26784 27008 30384 35712 39246 40512 45576 47616 52328 53568 54016 58869 60768 71424 78492 81024 91152 104656 107136 108032 117738 121536 142848 156984 162048 176607 182304 209312 214272 235476 243072 313968 324096 353214 364608 418624 428544 470952 486144 627936 706428 729216 837248 941904 972288 1255872 1412856 1458432 1674496 1883808 2511744 2825712 2916864 3348992 3767616 5023488 5651424 7535232 10046976 11302848 15070464 22605696 30140928 45211392 90422784