Search a number
-
+
48402690 = 23572191733
BaseRepresentation
bin1011100010100…
…1000100000010
310101002010000020
42320221010002
544342341230
64445234310
71125262500
oct270510402
9111063006
1048402690
112535a726
1214262996
13a04935b
1465dd670
1543b1810
hex2e29102

48402690 has 96 divisors (see below), whose sum is σ = 142326720. Its totient is φ = 10475136.

The previous prime is 48402677. The next prime is 48402691. The reversal of 48402690 is 9620484.

It is a super-2 number, since 2×484026902 = 4685640798472200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48402691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27064 + ... + 28796.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 248402690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48402690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71163360).

48402690 is an abundant number, since it is smaller than the sum of its proper divisors (93924030).

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

48402690 is a wasteful number, since it uses less digits than its factorization.

48402690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48402690 is about 6957.2041798412. The cubic root of 48402690 is about 364.4375901020.

The spelling of 48402690 in words is "forty-eight million, four hundred two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1733 1862 1995 2793 3466 3990 4655 5199 5586 8665 9310 10398 12131 13965 17330 24262 25995 27930 32927 36393 51990 60655 65854 72786 84917 98781 121310 164635 169834 181965 197562 230489 254751 329270 363930 424585 460978 493905 509502 691467 849170 987810 1152445 1273755 1382934 1613423 2304890 2547510 3226846 3457335 4840269 6914670 8067115 9680538 16134230 24201345 48402690