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90149488 = 24111331241
BaseRepresentation
bin1010101111110…
…01001001110000
320021122001211221
411113321021300
5141034240423
612540114424
72143154332
oct527711160
9207561757
1090149488
1146983710
1226235a14
13158a4cc0
14bd89452
157daae5d
hex55f9270

90149488 has 120 divisors (see below), whose sum is σ = 217204848. Its totient is φ = 35712000.

The previous prime is 90149459. The next prime is 90149491. The reversal of 90149488 is 88494109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2198748 + ... + 2198788.

Almost surely, 290149488 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 90149488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108602424).

90149488 is an abundant number, since it is smaller than the sum of its proper divisors (127055360).

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

90149488 is a wasteful number, since it uses less digits than its factorization.

90149488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 90149488 is about 9494.7084210101. The cubic root of 90149488 is about 448.3884545332.

The spelling of 90149488 in words is "ninety million, one hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 41 44 52 62 82 88 104 124 143 164 176 208 248 286 328 341 403 451 496 533 572 656 682 806 902 961 1066 1144 1271 1364 1612 1804 1922 2132 2288 2542 2728 3224 3608 3844 4264 4433 5084 5456 5863 6448 7216 7688 8528 8866 10168 10571 11726 12493 13981 15376 16523 17732 20336 21142 23452 24986 27962 33046 35464 39401 42284 46904 49972 55924 66092 70928 78802 84568 93808 99944 111848 132184 137423 157604 169136 181753 199888 223696 264368 274846 315208 363506 433411 512213 549692 630416 727012 866822 1024426 1099384 1454024 1733644 2048852 2198768 2908048 3467288 4097704 5634343 6934576 8195408 11268686 22537372 45074744 90149488