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90471996 = 223219294561
BaseRepresentation
bin1010110010001…
…11111000111100
320022020110020200
411121013320330
5141130100441
612551043500
72145666516
oct531077074
9208213220
1090471996
1147083a4a
1226370590
1315988a34
14c030bb6
157e217b6
hex5647e3c

90471996 has 72 divisors (see below), whose sum is σ = 249085200. Its totient is φ = 27578880.

The previous prime is 90471973. The next prime is 90472001. The reversal of 90471996 is 69917409.

90471996 is a `hidden beast` number, since 90 + 471 + 9 + 96 = 666.

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, 17556 + ... + 22116.

Almost surely, 290471996 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 90471996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124542600).

90471996 is an abundant number, since it is smaller than the sum of its proper divisors (158613204).

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

90471996 is a wasteful number, since it uses less digits than its factorization.

90471996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 90471996 is about 9511.6768237782. The cubic root of 90471996 is about 448.9225184298.

It can be divided in two parts, 904 and 71996, that added together give a square (72900 = 2702).

The spelling of 90471996 in words is "ninety million, four hundred seventy-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4561 4959 6612 9122 9918 13683 18244 19836 27366 41049 54732 82098 86659 132269 164196 173318 259977 264538 346636 396807 519954 529076 779931 793614 1039908 1190421 1559862 1587228 2380842 2513111 3119724 4761684 5026222 7539333 10052444 15078666 22617999 30157332 45235998 90471996