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48990168 = 23323147467
BaseRepresentation
bin1011101011100…
…0011111011000
310102011221212200
42322320133120
5100020141133
64510010200
71133260323
oct272703730
9112157780
1048990168
1125721047
12144a6960
13a1c3886
1467137ba
15447a913
hex2eb87d8

48990168 has 96 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 15433920.

The previous prime is 48990167. The next prime is 48990181. The reversal of 48990168 is 86109984.

48990168 is a `hidden beast` number, since 489 + 9 + 0 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48990167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104671 + ... + 105137.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 248990168 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 48990168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

48990168 is an abundant number, since it is smaller than the sum of its proper divisors (91185192).

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

48990168 is a wasteful number, since it uses less digits than its factorization.

48990168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 48990168 is about 6999.2976790532. The cubic root of 48990168 is about 365.9060943354.

The spelling of 48990168 in words is "forty-eight million, nine hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 467 558 564 744 846 934 1116 1128 1401 1457 1692 1868 2232 2802 2914 3384 3736 4203 4371 5604 5828 8406 8742 11208 11656 13113 14477 16812 17484 21949 26226 28954 33624 34968 43431 43898 52452 57908 65847 86862 87796 104904 115816 130293 131694 173724 175592 197541 260586 263388 347448 395082 521172 526776 680419 790164 1042344 1360838 1580328 2041257 2721676 4082514 5443352 6123771 8165028 12247542 16330056 24495084 48990168