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44474364 = 2232111923257
BaseRepresentation
bin1010100110100…
…1111111111100
310002200112100200
42221221333330
542341134424
64225123500
71050011604
oct251517774
9102615320
1044474364
1123117280
1212a89590
1392a22bc
145c99c04
153d878c9
hex2a69ffc

44474364 has 144 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 12165120.

The previous prime is 44474359. The next prime is 44474389. The reversal of 44474364 is 46347444.

44474364 = T392 + T393 + ... + T688.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 172924 + ... + 173180.

It is an arithmetic number, because the mean of its divisors is an integer number (939120).

Almost surely, 244474364 is an apocalyptic number.

44474364 is a gapful number since it is divisible by the number (44) 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 44474364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

44474364 is an abundant number, since it is smaller than the sum of its proper divisors (90758916).

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

44474364 is a wasteful number, since it uses less digits than its factorization.

44474364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 44474364 is about 6668.9102558064. The cubic root of 44474364 is about 354.2989909115.

Subtracting 44474364 from its reverse (46347444), we obtain a triangular number (1873080 = T1935).

The spelling of 44474364 in words is "forty-four million, four hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 257 276 342 396 414 418 437 506 514 627 684 759 771 828 836 874 1012 1028 1254 1311 1518 1542 1748 1881 2277 2313 2508 2622 2827 3036 3084 3762 3933 4554 4626 4807 4883 5244 5654 5911 7524 7866 8481 9108 9252 9614 9766 11308 11822 14421 14649 15732 16962 17733 19228 19532 23644 25443 28842 29298 33924 35466 43263 43947 50886 53199 53713 57684 58596 65021 70932 86526 87894 101772 106398 107426 112309 130042 161139 173052 175788 195063 212796 214852 224618 260084 322278 336927 390126 449236 483417 585189 644556 673854 780252 966834 1010781 1170378 1235399 1347708 1933668 2021562 2340756 2470798 3706197 4043124 4941596 7412394 11118591 14824788 22237182 44474364