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90399744 = 2103217577
BaseRepresentation
bin1010110001101…
…10010000000000
320022002210010200
411120312100000
5141120242434
612545325200
72145246051
oct530662000
9208083120
1090399744
1147034736
1226336800
1315961b96
14c012728
157e0a199
hex5636400

90399744 has 132 divisors (see below), whose sum is σ = 276860844. Its totient is φ = 28311552.

The previous prime is 90399731. The next prime is 90399767. The reversal of 90399744 is 44799309.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 7225344 = 9120^2 + 2688^2 .

It is a super-2 number, since 2×903997442 = 16344227430531072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90399744.

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, 156384 + ... + 156960.

Almost surely, 290399744 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 90399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138430422).

90399744 is an abundant number, since it is smaller than the sum of its proper divisors (186461100).

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

90399744 is a wasteful number, since it uses less digits than its factorization.

90399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 90399744 is about 9507.8779966931. The cubic root of 90399744 is about 448.8029816687.

The spelling of 90399744 in words is "ninety million, three hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 577 612 768 816 1024 1088 1152 1154 1224 1536 1632 1731 2176 2304 2308 2448 3072 3264 3462 4352 4608 4616 4896 5193 6528 6924 8704 9216 9232 9792 9809 10386 13056 13848 17408 18464 19584 19618 20772 26112 27696 29427 36928 39168 39236 41544 52224 55392 58854 73856 78336 78472 83088 88281 110784 117708 147712 156672 156944 166176 176562 221568 235416 295424 313888 332352 353124 443136 470832 590848 627776 664704 706248 886272 941664 1255552 1329408 1412496 1772544 1883328 2511104 2658816 2824992 3766656 5022208 5317632 5649984 7533312 10044416 11299968 15066624 22599936 30133248 45199872 90399744