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90338004 = 22341032707
BaseRepresentation
bin1010110001001…
…11001011010100
320021222122110000
411120213023110
5141111304004
612544131300
72144601051
oct530471324
9207878400
1090338004
1146aa2309
1226306b30
131593ca53
14bdd8028
157de6c39
hex56272d4

90338004 has 60 divisors (see below), whose sum is σ = 238542304. Its totient is φ = 29809296.

The previous prime is 90337991. The next prime is 90338009. The reversal of 90338004 is 40083309.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90338009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32019 + ... + 34725.

Almost surely, 290338004 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 90338004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119271152).

90338004 is an abundant number, since it is smaller than the sum of its proper divisors (148204300).

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

90338004 is a wasteful number, since it uses less digits than its factorization.

90338004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90338004 is about 9504.6306608937. The cubic root of 90338004 is about 448.7007859272.

The spelling of 90338004 in words is "ninety million, three hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2707 2781 3708 5414 5562 8121 8343 10828 11124 16242 16686 24363 32484 33372 48726 73089 97452 146178 219267 278821 292356 438534 557642 836463 877068 1115284 1672926 2509389 3345852 5018778 7528167 10037556 15056334 22584501 30112668 45169002 90338004