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45296020 = 22571167439
BaseRepresentation
bin1010110011001…
…0100110010100
310011020021110101
42230302212110
543043433040
64254503444
71060003240
oct254624624
9104207411
1045296020
1123628630
1213204b84
1394cc2a3
146031420
153e9b09a
hex2b32994

45296020 has 96 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 13875840.

The previous prime is 45295969. The next prime is 45296023. The reversal of 45296020 is 2069254.

45296020 = T381 + T382 + ... + T688.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45296020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45296023) 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, 102961 + ... + 103399.

It is an arithmetic number, because the mean of its divisors is an integer number (1256640).

Almost surely, 245296020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45296020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

45296020 is an abundant number, since it is smaller than the sum of its proper divisors (75341420).

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

45296020 is a wasteful number, since it uses less digits than its factorization.

45296020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45296020 is about 6730.2317939281. The cubic root of 45296020 is about 356.4675609635.

It can be divided in two parts, 45 and 296020, that added together give a triangular number (296065 = T769).

The spelling of 45296020 in words is "forty-five million, two hundred ninety-six thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 134 140 154 220 268 308 335 385 439 469 670 737 770 878 938 1340 1474 1540 1756 1876 2195 2345 2948 3073 3685 4390 4690 4829 5159 6146 7370 8780 9380 9658 10318 12292 14740 15365 19316 20636 24145 25795 29413 30730 33803 48290 51590 58826 61460 67606 96580 103180 117652 135212 147065 169015 205891 294130 323543 338030 411782 588260 647086 676060 823564 1029455 1294172 1617715 2058910 2264801 3235430 4117820 4529602 6470860 9059204 11324005 22648010 45296020