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45025440 = 2535194937
BaseRepresentation
bin1010101111000…
…0100010100000
310010201112021220
42223300202200
543011303230
64245015040
71054465335
oct253604240
9103645256
1045025440
1123463309
12130b4480
139436095
145da098c
153e45d10
hex2af08a0

45025440 has 96 divisors (see below), whose sum is σ = 149325120. Its totient is φ = 11372544.

The previous prime is 45025433. The next prime is 45025447. The reversal of 45025440 is 4452054.

It is an interprime number because it is at equal distance from previous prime (45025433) and next prime (45025447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45025440.

It is not an unprimeable number, because it can be changed into a prime (45025447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652 + ... + 11588.

It is an arithmetic number, because the mean of its divisors is an integer number (1555470).

Almost surely, 245025440 is an apocalyptic number.

45025440 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 45025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74662560).

45025440 is an abundant number, since it is smaller than the sum of its proper divisors (104299680).

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

45025440 is a wasteful number, since it uses less digits than its factorization.

45025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45025440 is about 6710.0998502258. The cubic root of 45025440 is about 355.7563455002.

Adding to 45025440 its reverse (4452054), we get a palindrome (49477494).

The spelling of 45025440 in words is "forty-five million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 4937 9120 9874 14811 19748 24685 29622 39496 49370 59244 74055 78992 93803 98740 118488 148110 157984 187606 197480 236976 281409 296220 375212 394960 469015 473952 562818 592440 750424 789920 938030 1125636 1184880 1407045 1500848 1876060 2251272 2369760 2814090 3001696 3752120 4502544 5628180 7504240 9005088 11256360 15008480 22512720 45025440