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90247392 = 2533671559
BaseRepresentation
bin1010110000100…
…01000011100000
320021211001011000
411120101003200
5141100404032
612542152000
72144042634
oct530210340
9207731130
1090247392
1146a40224
1226282600
131590a731
14bdb2dc4
157dc9e7c
hex56110e0

90247392 has 96 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 29614464.

The previous prime is 90247387. The next prime is 90247429. The reversal of 90247392 is 29374209.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57109 + ... + 58667.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 290247392 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 90247392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

90247392 is an abundant number, since it is smaller than the sum of its proper divisors (177074208).

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

90247392 is a wasteful number, since it uses less digits than its factorization.

90247392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90247392 is about 9499.8627358505. The cubic root of 90247392 is about 448.5507151742.

The spelling of 90247392 in words is "ninety million, two hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1559 1608 1809 2144 2412 3118 3216 3618 4677 4824 6236 6432 7236 9354 9648 12472 14031 14472 18708 19296 24944 28062 28944 37416 42093 49888 56124 57888 74832 84186 104453 112248 149664 168372 208906 224496 313359 336744 417812 448992 626718 673488 835624 940077 1253436 1346976 1671248 1880154 2506872 2820231 3342496 3760308 5013744 5640462 7520616 10027488 11280924 15041232 22561848 30082464 45123696 90247392