Search a number
-
+
49854336 = 2737171091
BaseRepresentation
bin1011111000101…
…1011110000000
310110210212021220
42332023132000
5100230314321
64540315040
71143516630
oct276133600
9113725256
1049854336
1126161334
1214842a80
13a43700c
14689a6c0
15459b9c6
hex2f8b780

49854336 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 13393920.

The previous prime is 49854331. The next prime is 49854341. The reversal of 49854336 is 63345894.

49854336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49854331) and next prime (49854341).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49854331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45151 + ... + 46241.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 249854336 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 49854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

49854336 is an abundant number, since it is smaller than the sum of its proper divisors (110538624).

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

49854336 is a wasteful number, since it uses less digits than its factorization.

49854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 49854336 is about 7060.7602990046. The cubic root of 49854336 is about 368.0450480455.

The spelling of 49854336 in words is "forty-nine million, eight hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1091 1344 1428 1632 1904 2176 2182 2688 2856 3264 3273 3808 4364 5712 6528 6546 7616 7637 8728 11424 13092 15232 15274 17456 18547 22848 22911 26184 30548 34912 37094 45696 45822 52368 55641 61096 69824 74188 91644 104736 111282 122192 129829 139648 148376 183288 209472 222564 244384 259658 296752 366576 389487 418944 445128 488768 519316 593504 733152 778974 890256 977536 1038632 1187008 1466304 1557948 1780512 2077264 2374016 2932608 3115896 3561024 4154528 6231792 7122048 8309056 12463584 16618112 24927168 49854336