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45377244 = 2232111937163
BaseRepresentation
bin1010110100011…
…0011011011100
310011101101212200
42231012123130
543104032434
64300331500
71060462113
oct255063334
9104341780
1045377244
1123683660
1213243b90
13952a253
146052c7a
153eb5199
hex2b466dc

45377244 has 144 divisors (see below), whose sum is σ = 136106880. Its totient is φ = 12597120.

The previous prime is 45377219. The next prime is 45377261. The reversal of 45377244 is 44277354.

45377244 is a `hidden beast` number, since 45 + 377 + 244 = 666.

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

Its product of digits (94080) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 45377199 and 45377208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278307 + ... + 278469.

Almost surely, 245377244 is an apocalyptic number.

45377244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45377244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68053440).

45377244 is an abundant number, since it is smaller than the sum of its proper divisors (90729636).

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

45377244 is a wasteful number, since it uses less digits than its factorization.

45377244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 45377244 is about 6736.2633558969. The cubic root of 45377244 is about 356.6805041166.

It can be divided in two parts, 4537 and 7244, that added together give a triangular number (11781 = T153).

The spelling of 45377244 in words is "forty-five million, three hundred seventy-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 163 171 198 209 222 228 326 333 342 396 407 418 444 489 627 652 666 684 703 814 836 978 1221 1254 1332 1406 1467 1628 1793 1881 1956 2109 2442 2508 2812 2934 3097 3586 3663 3762 4218 4884 5379 5868 6031 6194 6327 7172 7326 7524 7733 8436 9291 10758 12062 12388 12654 14652 15466 16137 18093 18582 21516 23199 24124 25308 27873 30932 32274 34067 36186 37164 46398 54279 55746 64548 66341 68134 69597 72372 92796 102201 108558 111492 114589 132682 136268 139194 199023 204402 217116 229178 265364 278388 306603 343767 398046 408804 458356 597069 613206 687534 796092 1031301 1194138 1226412 1260479 1375068 2062602 2388276 2520958 3781437 4125204 5041916 7562874 11344311 15125748 22688622 45377244