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48353214 = 23713195979
BaseRepresentation
bin1011100001110…
…0111110111110
310100222121010210
42320130332332
544334300324
64444213250
71124665320
oct270347676
9110877123
1048353214
1125326538
121423a226
13a02c990
1465c9610
1543a1d29
hex2e1cfbe

48353214 has 128 divisors (see below), whose sum is σ = 129024000. Its totient is φ = 11726208.

The previous prime is 48353209. The next prime is 48353231. The reversal of 48353214 is 41235384.

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 63 ways as a sum of consecutive naturals, for example, 612027 + ... + 612105.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 248353214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48353214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512000).

48353214 is an abundant number, since it is smaller than the sum of its proper divisors (80670786).

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

48353214 is a wasteful number, since it uses less digits than its factorization.

48353214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its digits is 11520, while the sum is 30.

The square root of 48353214 is about 6953.6475320511. The cubic root of 48353214 is about 364.3133748206.

Adding to 48353214 its reverse (41235384), we get a palindrome (89588598).

The spelling of 48353214 in words is "forty-eight million, three hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 59 78 79 91 114 118 133 158 177 182 237 247 266 273 354 399 413 474 494 546 553 741 767 798 826 1027 1106 1121 1239 1482 1501 1534 1659 1729 2054 2242 2301 2478 3002 3081 3318 3363 3458 4503 4602 4661 5187 5369 6162 6726 7189 7847 9006 9322 10374 10507 10738 13983 14378 14573 15694 16107 19513 21014 21567 23541 27966 29146 31521 32214 32627 39026 43134 43719 47082 58539 60593 63042 65254 87438 88559 97881 102011 117078 121186 136591 177118 181779 195762 204022 265677 273182 306033 363558 409773 424151 531354 612066 619913 819546 848302 1151267 1239826 1272453 1859739 2302534 2544906 3453801 3719478 6907602 8058869 16117738 24176607 48353214