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90422384 = 24132341461
BaseRepresentation
bin1010110001110…
…11110001110000
320022010221012012
411120323301300
5141122004014
612550022052
72145402053
oct530736160
9208127165
1090422384
114704a748
1226347928
131596c290
14c01aa9a
157e11c3e
hex563bc70

90422384 has 80 divisors (see below), whose sum is σ = 202112064. Its totient is φ = 38860800.

The previous prime is 90422369. The next prime is 90422389. The reversal of 90422384 is 48322409.

It is a self number, because there is not a number n which added to its sum of digits gives 90422384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90422389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195914 + ... + 196374.

Almost surely, 290422384 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 90422384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056032).

90422384 is an abundant number, since it is smaller than the sum of its proper divisors (111689680).

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

90422384 is a wasteful number, since it uses less digits than its factorization.

90422384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 90422384 is about 9509.0685137925. The cubic root of 90422384 is about 448.8404450911.

The spelling of 90422384 in words is "ninety million, four hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 41 46 52 82 92 104 164 184 208 299 328 368 461 533 598 656 922 943 1066 1196 1844 1886 2132 2392 3688 3772 4264 4784 5993 7376 7544 8528 10603 11986 12259 15088 18901 21206 23972 24518 37802 42412 47944 49036 75604 84824 95888 98072 137839 151208 169648 196144 245713 275678 302416 434723 491426 551356 869446 982852 1102712 1738892 1965704 2205424 3477784 3931408 5651399 6955568 11302798 22605596 45211192 90422384