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90230392 = 23719137619
BaseRepresentation
bin1010110000011…
…00111001111000
320021210011211101
411120030321320
5141044333032
612541541144
72143642240
oct530147170
9207704741
1090230392
1146a2947a
12262747b4
1315902a85
14bdaab20
157dc4de7
hex560ce78

90230392 has 64 divisors (see below), whose sum is σ = 205344000. Its totient is φ = 36308736.

The previous prime is 90230389. The next prime is 90230417. The reversal of 90230392 is 29303209.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 90230392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145459 + ... + 146077.

It is an arithmetic number, because the mean of its divisors is an integer number (3208500).

Almost surely, 290230392 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 90230392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672000).

90230392 is an abundant number, since it is smaller than the sum of its proper divisors (115113608).

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

90230392 is a wasteful number, since it uses less digits than its factorization.

90230392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 90230392 is about 9498.9679439400. The cubic root of 90230392 is about 448.5225487425.

The spelling of 90230392 in words is "ninety million, two hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 137 152 266 274 532 548 619 959 1064 1096 1238 1918 2476 2603 3836 4333 4952 5206 7672 8666 10412 11761 17332 18221 20824 23522 34664 36442 47044 72884 82327 84803 94088 145768 164654 169606 329308 339212 593621 658616 678424 1187242 1611257 2374484 3222514 4748968 6445028 11278799 12890056 22557598 45115196 90230392