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36428490 = 23257531091
BaseRepresentation
bin1000101011110…
…1101011001010
32112112202111100
42022331223022
533311202430
63340442230
7621431340
oct212755312
975482440
1036428490
111962129a
1210249376
137716027
144ba3990
1532e8960
hex22bdaca

36428490 has 96 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 8161920.

The previous prime is 36428477. The next prime is 36428507. The reversal of 36428490 is 9482463.

It is a happy number.

36428490 is a `hidden beast` number, since 3 + 642 + 8 + 4 + 9 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32845 + ... + 33935.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 236428490 is an apocalyptic number.

36428490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36428490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

36428490 is an abundant number, since it is smaller than the sum of its proper divisors (73959606).

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

36428490 is a wasteful number, since it uses less digits than its factorization.

36428490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36428490 is about 6035.6018755382. The cubic root of 36428490 is about 331.4976010419.

The spelling of 36428490 in words is "thirty-six million, four hundred twenty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1091 1113 1590 1855 2182 2226 2385 3273 3339 3710 4770 5455 5565 6546 6678 7637 9819 10910 11130 15274 16365 16695 19638 22911 32730 33390 38185 45822 49095 57823 68733 76370 98190 114555 115646 137466 173469 229110 289115 343665 346938 404761 520407 578230 687330 809522 867345 1040814 1214283 1734690 2023805 2428566 2602035 3642849 4047610 5204070 6071415 7285698 12142830 18214245 36428490