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49902216 = 23371373313
BaseRepresentation
bin1011111001011…
…1001010001000
310110220021222020
42332113022020
5100233332331
64541324440
71144106340
oct276271210
9113807866
1049902216
1126194301
1214866720
13a452a50
1468add20
1545aac96
hex2f97288

49902216 has 128 divisors (see below), whose sum is σ = 156145920. Its totient is φ = 12939264.

The previous prime is 49902199. The next prime is 49902217. The reversal of 49902216 is 61220994.

49902216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49902217) 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 31 ways as a sum of consecutive naturals, for example, 159276 + ... + 159588.

It is an arithmetic number, because the mean of its divisors is an integer number (1219890).

Almost surely, 249902216 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 49902216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78072960).

49902216 is an abundant number, since it is smaller than the sum of its proper divisors (106243704).

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

49902216 is a wasteful number, since it uses less digits than its factorization.

49902216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 49902216 is about 7064.1500550314. The cubic root of 49902216 is about 368.1628335779.

The spelling of 49902216 in words is "forty-nine million, nine hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 313 364 438 511 546 584 626 728 876 939 949 1022 1092 1252 1533 1752 1878 1898 2044 2184 2191 2504 2847 3066 3756 3796 4069 4088 4382 5694 6132 6573 6643 7512 7592 8138 8764 11388 12207 12264 13146 13286 16276 17528 19929 22776 22849 24414 26292 26572 28483 32552 39858 45698 48828 52584 53144 56966 68547 79716 85449 91396 97656 113932 137094 159432 159943 170898 182792 227864 274188 297037 319886 341796 479829 548376 594074 639772 683592 891111 959658 1188148 1279544 1782222 1919316 2079259 2376296 3564444 3838632 4158518 6237777 7128888 8317036 12475554 16634072 24951108 49902216