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45614240 = 2557139293
BaseRepresentation
bin1010111000000…
…0010010100000
310011211102222022
42232000102200
543134123430
64305401012
71062500060
oct256002240
9104742868
1045614240
1123825721
1213339168
1395b1099
1460b53a0
1540104e5
hex2b804a0

45614240 has 96 divisors (see below), whose sum is σ = 124467840. Its totient is φ = 15473664.

The previous prime is 45614197. The next prime is 45614243. The reversal of 45614240 is 4241654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45614243) 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, 155534 + ... + 155826.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 245614240 is an apocalyptic number.

45614240 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 45614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62233920).

45614240 is an abundant number, since it is smaller than the sum of its proper divisors (78853600).

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

45614240 is a wasteful number, since it uses less digits than its factorization.

45614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45614240 is about 6753.8315051532. The cubic root of 45614240 is about 357.3003824718.

Adding to 45614240 its reverse (4241654), we get a palindrome (49855894).

It can be divided in two parts, 45614 and 240, that added together give a palindrome (45854).

The spelling of 45614240 in words is "forty-five million, six hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 293 556 560 586 695 973 1112 1120 1172 1390 1465 1946 2051 2224 2344 2780 2930 3892 4102 4448 4688 4865 5560 5860 7784 8204 9376 9730 10255 11120 11720 15568 16408 19460 20510 22240 23440 31136 32816 38920 40727 41020 46880 65632 77840 81454 82040 155680 162908 164080 203635 285089 325816 328160 407270 570178 651632 814540 1140356 1303264 1425445 1629080 2280712 2850890 3258160 4561424 5701780 6516320 9122848 11403560 22807120 45614240