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36428544 = 283297163
BaseRepresentation
bin1000101011110…
…1101100000000
32112112202120100
42022331230000
533311203134
63340442400
7621431445
oct212755400
975482510
1036428544
1119621339
1210249400
137716069
144ba39cc
1532e8999
hex22bdb00

36428544 has 108 divisors (see below), whose sum is σ = 106766296. Its totient is φ = 11943936.

The previous prime is 36428537. The next prime is 36428549. The reversal of 36428544 is 44582463.

36428544 is a `hidden beast` number, since 3 + 642 + 8 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36428499 and 36428508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36428549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223407 + ... + 223569.

Almost surely, 236428544 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 36428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53383148).

36428544 is an abundant number, since it is smaller than the sum of its proper divisors (70337752).

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

36428544 is a wasteful number, since it uses less digits than its factorization.

36428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 36428544 is about 6035.6063489926. The cubic root of 36428544 is about 331.4977648410.

The spelling of 36428544 in words is "thirty-six million, four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 163 192 194 256 288 291 326 384 388 489 576 582 652 768 776 873 978 1152 1164 1304 1467 1552 1746 1956 2304 2328 2608 2934 3104 3492 3912 4656 5216 5868 6208 6984 7824 9312 10432 11736 12416 13968 15648 15811 18624 20864 23472 24832 27936 31296 31622 37248 41728 46944 47433 55872 62592 63244 74496 93888 94866 111744 125184 126488 142299 187776 189732 223488 252976 284598 375552 379464 505952 569196 758928 1011904 1138392 1517856 2023808 2276784 3035712 4047616 4553568 6071424 9107136 12142848 18214272 36428544