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90003456 = 2113219257
BaseRepresentation
bin1010101110101…
…01100000000000
320021100122112100
411113111200000
5141020102311
612533030400
72142005514
oct527254000
9207318470
1090003456
1146893a24
1226185400
13158536aa
14bd4c144
157d7ca56
hex55d5800

90003456 has 144 divisors (see below), whose sum is σ = 274692600. Its totient is φ = 28311552.

The previous prime is 90003413. The next prime is 90003461. The reversal of 90003456 is 65430009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350080 + ... + 350336.

Almost surely, 290003456 is an apocalyptic number.

90003456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137346300).

90003456 is an abundant number, since it is smaller than the sum of its proper divisors (184689144).

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

90003456 is a wasteful number, since it uses less digits than its factorization.

90003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90003456 is about 9487.0151259498. The cubic root of 90003456 is about 448.1462107804.

The spelling of 90003456 in words is "ninety million, three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 257 288 304 342 384 456 512 514 576 608 684 768 771 912 1024 1028 1152 1216 1368 1536 1542 1824 2048 2056 2304 2313 2432 2736 3072 3084 3648 4112 4608 4626 4864 4883 5472 6144 6168 7296 8224 9216 9252 9728 9766 10944 12336 14592 14649 16448 18432 18504 19456 19532 21888 24672 29184 29298 32896 37008 38912 39064 43776 43947 49344 58368 58596 65792 74016 78128 87552 87894 98688 116736 117192 131584 148032 156256 175104 175788 197376 234384 263168 296064 312512 350208 351576 394752 468768 526336 592128 625024 703152 789504 937536 1184256 1250048 1406304 1579008 1875072 2368512 2500096 2812608 3750144 4737024 5000192 5625216 7500288 10000384 11250432 15000576 22500864 30001152 45001728 90003456