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90252470 = 257111931199
BaseRepresentation
bin1010110000100…
…10010010110110
320021211022010002
411120102102312
5141101034340
612542231302
72144063510
oct530222266
9207738102
1090252470
1146a44020
1226285532
131590cb39
14bdb4bb0
157dcb715
hex56124b6

90252470 has 128 divisors (see below), whose sum is σ = 221184000. Its totient is φ = 25660800.

The previous prime is 90252433. The next prime is 90252517. The reversal of 90252470 is 7425209.

It is a super-2 number, since 2×902524702 = 16291016682201800, 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 63 ways as a sum of consecutive naturals, for example, 453431 + ... + 453629.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 290252470 is an apocalyptic number.

90252470 is an abundant number, since it is smaller than the sum of its proper divisors (130931530).

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

90252470 is a wasteful number, since it uses less digits than its factorization.

90252470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 90252470 is about 9500.1299991105. The cubic root of 90252470 is about 448.5591279669.

Adding to 90252470 its reverse (7425209), we get a palindrome (97677679).

The spelling of 90252470 in words is "ninety million, two hundred fifty-two thousand, four hundred seventy".

Divisors: 1 2 5 7 10 11 14 19 22 31 35 38 55 62 70 77 95 110 133 154 155 190 199 209 217 266 310 341 385 398 418 434 589 665 682 770 995 1045 1085 1178 1330 1393 1463 1705 1990 2090 2170 2189 2387 2786 2926 2945 3410 3781 4123 4378 4774 5890 6169 6479 6965 7315 7562 8246 10945 11935 12338 12958 13930 14630 15323 18905 20615 21890 23870 26467 30646 30845 32395 37810 41230 41591 43183 45353 52934 61690 64790 67859 76615 83182 86366 90706 117211 132335 135718 153230 207955 215915 226765 234422 264670 291137 339295 415910 431830 453530 475013 582274 586055 678590 820477 950026 1172110 1289321 1455685 1640954 2375065 2578642 2911370 4102385 4750130 6446605 8204770 9025247 12893210 18050494 45126235 90252470