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5436396 = 223571747
BaseRepresentation
bin10100101111001111101100
3101020012100000
4110233033230
52342431041
6312304300
764131360
oct24571754
911205300
105436396
113083499
1219a2090
131184604
14a172a0
15725bb6
hex52f3ec

5436396 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1430784.

The previous prime is 5436391. The next prime is 5436397. The reversal of 5436396 is 6936345.

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

Its product of digits (58320) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 5436396.

It is not an unprimeable number, because it can be changed into a prime (5436391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115645 + ... + 115691.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 25436396 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 5436396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5436396 is an abundant number, since it is smaller than the sum of its proper divisors (12175380).

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

5436396 is a wasteful number, since it uses less digits than its factorization.

5436396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5436396 is about 2331.6080288076. The cubic root of 5436396 is about 175.8343396442.

It can be divided in two parts, 5436 and 396, that added together give a cube (5832 = 183).

The spelling of 5436396 in words is "five million, four hundred thirty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 47 51 54 63 68 81 84 94 102 108 119 126 141 153 162 188 189 204 238 243 252 282 306 324 329 357 378 423 459 476 486 564 567 612 658 714 756 799 846 918 972 987 1071 1134 1269 1316 1377 1428 1598 1692 1701 1836 1974 2142 2268 2397 2538 2754 2961 3196 3213 3402 3807 3948 4131 4284 4794 5076 5508 5593 5922 6426 6804 7191 7614 8262 8883 9588 9639 11186 11421 11844 12852 14382 15228 16524 16779 17766 19278 21573 22372 22842 26649 28764 28917 33558 35532 38556 43146 45684 50337 53298 57834 64719 67116 79947 86292 100674 106596 115668 129438 151011 159894 194157 201348 258876 302022 319788 388314 453033 604044 776628 906066 1359099 1812132 2718198 5436396