Search a number
-
+
90228048 = 24329531223
BaseRepresentation
bin1010110000011…
…00010101010000
320021210001121120
411120030111100
5141044244143
612541522240
72143632351
oct530142520
9207701546
1090228048
1146a27739
1226273380
13159019a1
14bda9d28
157dc4383
hex560c550

90228048 has 80 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 28467712.

The previous prime is 90228023. The next prime is 90228053. The reversal of 90228048 is 84082209.

It is a super-2 number, since 2×902280482 = 16282201291780608, which contains 22 as substring.

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, 73165 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (3073464).

Almost surely, 290228048 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 90228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

90228048 is an abundant number, since it is smaller than the sum of its proper divisors (155649072).

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

90228048 is a wasteful number, since it uses less digits than its factorization.

90228048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 90228048 is about 9498.8445613138. The cubic root of 90228048 is about 448.5186648111.

The spelling of 90228048 in words is "ninety million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 116 159 174 212 232 318 348 424 464 636 696 848 1223 1272 1392 1537 2446 2544 3074 3669 4611 4892 6148 7338 9222 9784 12296 14676 18444 19568 24592 29352 35467 36888 58704 64819 70934 73776 106401 129638 141868 194457 212802 259276 283736 388914 425604 518552 567472 777828 851208 1037104 1555656 1702416 1879751 3111312 3759502 5639253 7519004 11278506 15038008 22557012 30076016 45114024 90228048