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90950904 = 233311101379
BaseRepresentation
bin1010110101111…
…00110011111000
320100010210012000
411122330303320
5141240412104
613005221000
72153032662
oct532746370
9210123160
1090950904
1147380840
1226561760
1315ac5a05
14c117532
157eb8639
hex56bccf8

90950904 has 128 divisors (see below), whose sum is σ = 279072000. Its totient is φ = 27216000.

The previous prime is 90950887. The next prime is 90950911. The reversal of 90950904 is 40905909.

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 31 ways as a sum of consecutive naturals, for example, 239787 + ... + 240165.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 290950904 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 90950904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

90950904 is an abundant number, since it is smaller than the sum of its proper divisors (188121096).

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

90950904 is a wasteful number, since it uses less digits than its factorization.

90950904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90950904 is about 9536.8183373702. The cubic root of 90950904 is about 449.7132395242.

The spelling of 90950904 in words is "ninety million, nine hundred fifty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 101 108 132 198 202 216 264 297 303 379 396 404 594 606 758 792 808 909 1111 1137 1188 1212 1516 1818 2222 2274 2376 2424 2727 3032 3333 3411 3636 4169 4444 4548 5454 6666 6822 7272 8338 8888 9096 9999 10233 10908 12507 13332 13644 16676 19998 20466 21816 25014 26664 27288 29997 33352 37521 38279 39996 40932 50028 59994 75042 76558 79992 81864 100056 112563 114837 119988 150084 153116 225126 229674 239976 300168 306232 344511 421069 450252 459348 689022 842138 900504 918696 1033533 1263207 1378044 1684276 2067066 2526414 2756088 3368552 3789621 4134132 5052828 7579242 8268264 10105656 11368863 15158484 22737726 30316968 45475452 90950904