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90476352 = 263431563
BaseRepresentation
bin1010110010010…
…00111101000000
320022020200020000
411121020331000
5141130220402
612551120000
72146015311
oct531107500
9208220200
1090476352
114708724a
1226373000
131598aa05
14c032608
157e22c1c
hex5648f40

90476352 has 140 divisors (see below), whose sum is σ = 277343616. Its totient is φ = 29134080.

The previous prime is 90476341. The next prime is 90476357. The reversal of 90476352 is 25367409.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90476357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160423 + ... + 160985.

Almost surely, 290476352 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 90476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138671808).

90476352 is an abundant number, since it is smaller than the sum of its proper divisors (186867264).

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

90476352 is a wasteful number, since it uses less digits than its factorization.

90476352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90476352 is about 9511.9058027295. The cubic root of 90476352 is about 448.9297231458.

The spelling of 90476352 in words is "ninety million, four hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 563 576 648 744 837 864 992 1116 1126 1296 1488 1674 1689 1728 1984 2232 2252 2511 2592 2976 3348 3378 4464 4504 5022 5067 5184 5952 6696 6756 8928 9008 10044 10134 13392 13512 15201 17453 17856 18016 20088 20268 26784 27024 30402 34906 36032 40176 40536 45603 52359 53568 54048 60804 69812 80352 81072 91206 104718 108096 121608 139624 157077 160704 162144 182412 209436 243216 279248 314154 324288 364824 418872 471231 486432 558496 628308 729648 837744 942462 972864 1116992 1256616 1413693 1459296 1675488 1884924 2513232 2827386 2918592 3350976 3769848 5026464 5654772 7539696 10052928 11309544 15079392 22619088 30158784 45238176 90476352