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45996860 = 225713127199
BaseRepresentation
bin1010111101110…
…1101100111100
310012112212211102
42233131230330
543233344420
64321512232
71065652430
oct257355474
9105485742
1045996860
1123a67138
12134a2678
1396b62a0
1461749c0
154088a75
hex2bddb3c

45996860 has 96 divisors (see below), whose sum is σ = 120422400. Its totient is φ = 14370048.

The previous prime is 45996829. The next prime is 45996877. The reversal of 45996860 is 6869954.

It is a super-2 number, since 2×459968602 = 4231422259719200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231041 + ... + 231239.

It is an arithmetic number, because the mean of its divisors is an integer number (1254400).

Almost surely, 245996860 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 45996860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60211200).

45996860 is an abundant number, since it is smaller than the sum of its proper divisors (74425540).

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

45996860 is a wasteful number, since it uses less digits than its factorization.

45996860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 45996860 is about 6782.0984953036. The cubic root of 45996860 is about 358.2966341840.

The spelling of 45996860 in words is "forty-five million, nine hundred ninety-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 127 130 140 182 199 254 260 364 398 455 508 635 796 889 910 995 1270 1393 1651 1778 1820 1990 2540 2587 2786 3302 3556 3980 4445 5174 5572 6604 6965 8255 8890 10348 11557 12935 13930 16510 17780 18109 23114 25273 25870 27860 33020 36218 46228 50546 51740 57785 72436 90545 101092 115570 126365 176911 181090 231140 252730 328549 353822 362180 505460 657098 707644 884555 1314196 1642745 1769110 2299843 3285490 3538220 4599686 6570980 9199372 11499215 22998430 45996860