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45741240 = 23335411033
BaseRepresentation
bin1010111001111…
…1010010111000
310012001220012000
42232133102320
543202204430
64312221000
71063536246
oct256372270
9105056160
1045741240
1123902086
121339a760
139626b2c
146109796
154037e60
hex2b9f4b8

45741240 has 128 divisors (see below), whose sum is σ = 156340800. Its totient is φ = 11888640.

The previous prime is 45741239. The next prime is 45741247. The reversal of 45741240 is 4214754.

It is a super-2 number, since 2×457412402 = 4184522073475200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45741247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43764 + ... + 44796.

Almost surely, 245741240 is an apocalyptic number.

45741240 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 45741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78170400).

45741240 is an abundant number, since it is smaller than the sum of its proper divisors (110599560).

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

45741240 is a wasteful number, since it uses less digits than its factorization.

45741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45741240 is about 6763.2270404002. The cubic root of 45741240 is about 357.6316759473.

Adding to 45741240 its reverse (4214754), we get a palindrome (49955994).

The spelling of 45741240 in words is "forty-five million, seven hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1033 1080 1107 1230 1476 1640 1845 2066 2214 2460 2952 3099 3690 4132 4428 4920 5165 5535 6198 7380 8264 8856 9297 10330 11070 12396 14760 15495 18594 20660 22140 24792 27891 30990 37188 41320 42353 44280 46485 55782 61980 74376 84706 92970 111564 123960 127059 139455 169412 185940 211765 223128 254118 278910 338824 371880 381177 423530 508236 557820 635295 762354 847060 1016472 1115640 1143531 1270590 1524708 1694120 1905885 2287062 2541180 3049416 3811770 4574124 5082360 5717655 7623540 9148248 11435310 15247080 22870620 45741240