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536422752 = 253253113311
BaseRepresentation
bin11111111110010…
…010100101100000
31101101101002200100
4133332102211200
52044311012002
6125121222400
716202342505
oct3776224540
91341332610
10536422752
11255884398
1212b791a00
1387198618
14513574ac
153216011c
hex1ff92960

536422752 has 144 divisors (see below), whose sum is σ = 1573030368. Its totient is φ = 173322240.

The previous prime is 536422741. The next prime is 536422759. The reversal of 536422752 is 257224635.

536422752 is a `hidden beast` number, since 5 + 3 + 642 + 2 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536422759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724677 + ... + 1724987.

It is an arithmetic number, because the mean of its divisors is an integer number (10923822).

Almost surely, 2536422752 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 536422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786515184).

536422752 is an abundant number, since it is smaller than the sum of its proper divisors (1036607616).

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

536422752 is a wasteful number, since it uses less digits than its factorization.

536422752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 536422752 is about 23160.8020586507. The cubic root of 536422752 is about 812.5231246121.

The spelling of 536422752 in words is "five hundred thirty-six million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 113 144 159 212 226 288 311 318 339 424 452 477 622 636 678 848 904 933 954 1017 1244 1272 1356 1696 1808 1866 1908 2034 2488 2544 2712 2799 3616 3732 3816 4068 4976 5088 5424 5598 5989 7464 7632 8136 9952 10848 11196 11978 14928 15264 16272 16483 17967 22392 23956 29856 32544 32966 35143 35934 44784 47912 49449 53901 65932 70286 71868 89568 95824 98898 105429 107802 131864 140572 143736 148347 191648 197796 210858 215604 263728 281144 287472 296694 316287 395592 421716 431208 527456 562288 574944 593388 632574 791184 843432 862416 1124576 1186776 1265148 1582368 1686864 1724832 1862579 2373552 2530296 3373728 3725158 4747104 5060592 5587737 7450316 10121184 11175474 14900632 16763211 22350948 29801264 33526422 44701896 59602528 67052844 89403792 134105688 178807584 268211376 536422752