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45253260 = 223251383233
BaseRepresentation
bin1010110010100…
…0001010001100
310011011002210200
42230220022030
543041101020
64253533500
71056434463
oct254501214
9104132720
1045253260
11235a9498
12131a4290
1394b59a0
14601d9da
153e8d590
hex2b2828c

45253260 has 144 divisors (see below), whose sum is σ = 150250464. Its totient is φ = 10957824.

The previous prime is 45253249. The next prime is 45253261. The reversal of 45253260 is 6235254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45253261) 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, 194104 + ... + 194336.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 245253260 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 45253260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75125232).

45253260 is an abundant number, since it is smaller than the sum of its proper divisors (104997204).

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

45253260 is a wasteful number, since it uses less digits than its factorization.

45253260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45253260 is about 6727.0543330644. The cubic root of 45253260 is about 356.3553557278.

It can be divided in two parts, 4 and 5253260, that added together give a square (5253264 = 22922).

The spelling of 45253260 in words is "forty-five million, two hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 233 234 249 260 332 390 415 466 468 498 585 699 747 780 830 932 996 1079 1165 1170 1245 1398 1494 1660 2097 2158 2330 2340 2490 2796 2988 3029 3237 3495 3735 4194 4316 4660 4980 5395 6058 6474 6990 7470 8388 9087 9711 10485 10790 12116 12948 13980 14940 15145 16185 18174 19339 19422 20970 21580 27261 30290 32370 36348 38678 38844 41940 45435 48555 54522 58017 60580 64740 77356 90870 96695 97110 109044 116034 136305 174051 181740 193390 194220 232068 251407 272610 290085 348102 386780 502814 545220 580170 696204 754221 870255 1005628 1160340 1257035 1508442 1740510 2262663 2514070 3016884 3481020 3771105 4525326 5028140 7542210 9050652 11313315 15084420 22626630 45253260