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49020384 = 2537217613
BaseRepresentation
bin1011101011111…
…1110111100000
310102020111022210
42322333313200
5100022123014
64510402120
71133444400
oct272776740
9112214283
1049020384
1125741816
1214500340
13a20455a
146720800
154484859
hex2ebfde0

49020384 has 144 divisors (see below), whose sum is σ = 158750928. Its totient is φ = 13160448.

The previous prime is 49020371. The next prime is 49020397. The reversal of 49020384 is 48302094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49020371) and next prime (49020397).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

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 23 ways as a sum of consecutive naturals, for example, 79662 + ... + 80274.

It is an arithmetic number, because the mean of its divisors is an integer number (1102437).

Almost surely, 249020384 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 49020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79375464).

49020384 is an abundant number, since it is smaller than the sum of its proper divisors (109730544).

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

49020384 is a wasteful number, since it uses less digits than its factorization.

49020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49020384 is about 7001.4558486075. The cubic root of 49020384 is about 365.9813063402.

The spelling of 49020384 in words is "forty-nine million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 613 672 714 784 816 833 952 1176 1226 1428 1568 1632 1666 1839 1904 2352 2452 2499 2856 3332 3678 3808 4291 4704 4904 4998 5712 6664 7356 8582 9808 9996 10421 11424 12873 13328 14712 17164 19616 19992 20842 25746 26656 29424 30037 31263 34328 39984 41684 51492 58848 60074 62526 68656 72947 79968 83368 90111 102984 120148 125052 137312 145894 166736 180222 205968 218841 240296 250104 291788 333472 360444 411936 437682 480592 500208 510629 583576 720888 875364 961184 1000416 1021258 1167152 1441776 1531887 1750728 2042516 2334304 2883552 3063774 3501456 4085032 6127548 7002912 8170064 12255096 16340128 24510192 49020384