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253621044 = 22351931443
BaseRepresentation
bin11110001110111…
…11001100110100
3122200020021200000
433013133030310
51004411333134
641055551300
76166512645
oct1707371464
9580207600
10253621044
11120187276
1270b2b530
134070c931
142597d6cc
15173ebe99
hexf1df334

253621044 has 144 divisors (see below), whose sum is σ = 724039680. Its totient is φ = 77332320.

The previous prime is 253621033. The next prime is 253621061. The reversal of 253621044 is 440126352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253620999 and 253621017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572287 + ... + 572729.

Almost surely, 2253621044 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 253621044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362019840).

253621044 is an abundant number, since it is smaller than the sum of its proper divisors (470418636).

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

253621044 is a wasteful number, since it uses less digits than its factorization.

253621044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253621044 is about 15925.4841056716. The cubic root of 253621044 is about 632.9874438784.

Adding to 253621044 its reverse (440126352), we get a palindrome (693747396).

The spelling of 253621044 in words is "two hundred fifty-three million, six hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 243 279 324 342 372 443 486 513 558 589 684 837 886 972 1026 1116 1178 1329 1539 1674 1767 1772 2052 2356 2511 2658 3078 3348 3534 3987 4617 5022 5301 5316 6156 7068 7533 7974 8417 9234 10044 10602 11961 13733 15066 15903 15948 16834 18468 21204 23922 25251 27466 30132 31806 33668 35883 41199 47709 47844 50502 54932 63612 71766 75753 82398 95418 101004 107649 123597 143127 143532 151506 164796 190836 215298 227259 247194 260927 286254 303012 370791 430596 454518 494388 521854 572508 681777 741582 782781 909036 1043708 1112373 1363554 1483164 1565562 2045331 2224746 2348343 2727108 3131124 3337119 4090662 4449492 4696686 6674238 7045029 8181324 9393372 13348476 14090058 21135087 28180116 42270174 63405261 84540348 126810522 253621044