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45472440 = 233513103283
BaseRepresentation
bin1010110101110…
…1101010111000
310011120020110110
42231131222320
543120104230
64302344320
71061336466
oct255355270
9104506413
1045472440
1123739132
121328b0a0
139561690
146079836
153ed34b0
hex2b5dab8

45472440 has 128 divisors (see below), whose sum is σ = 148861440. Its totient is φ = 11045376.

The previous prime is 45472439. The next prime is 45472459. The reversal of 45472440 is 4427454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45472398 and 45472407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160539 + ... + 160821.

It is an arithmetic number, because the mean of its divisors is an integer number (1162980).

Almost surely, 245472440 is an apocalyptic number.

45472440 is a gapful number since it is divisible by the number (40) 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 45472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74430720).

45472440 is an abundant number, since it is smaller than the sum of its proper divisors (103389000).

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

45472440 is a wasteful number, since it uses less digits than its factorization.

45472440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 45472440 is about 6743.3255890547. The cubic root of 45472440 is about 356.9297541645.

Adding to 45472440 its reverse (4427454), we get a palindrome (49899894).

The spelling of 45472440 in words is "forty-five million, four hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 103 104 120 130 156 195 206 260 283 309 312 390 412 515 520 566 618 780 824 849 1030 1132 1236 1339 1415 1545 1560 1698 2060 2264 2472 2678 2830 3090 3396 3679 4017 4120 4245 5356 5660 6180 6695 6792 7358 8034 8490 10712 11037 11320 12360 13390 14716 16068 16980 18395 20085 22074 26780 29149 29432 32136 33960 36790 40170 44148 53560 55185 58298 73580 80340 87447 88296 110370 116596 145745 147160 160680 174894 220740 233192 291490 349788 378937 437235 441480 582980 699576 757874 874470 1136811 1165960 1515748 1748940 1894685 2273622 3031496 3497880 3789370 4547244 5684055 7578740 9094488 11368110 15157480 22736220 45472440