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48101046 = 23721979109
BaseRepresentation
bin1011011101111…
…1011010110110
310100111210020020
42313133122312
544303213141
64434550010
71122565200
oct267373266
9110453206
1048101046
1125174034
1214138306
139c71c76
146561770
154352266
hex2ddf6b6

48101046 has 96 divisors (see below), whose sum is σ = 120384000. Its totient is φ = 12737088.

The previous prime is 48101033. The next prime is 48101063. The reversal of 48101046 is 64010184.

It is a super-3 number, since 3×481010463 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441240 + ... + 441348.

It is an arithmetic number, because the mean of its divisors is an integer number (1254000).

Almost surely, 248101046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48101046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60192000).

48101046 is an abundant number, since it is smaller than the sum of its proper divisors (72282954).

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

48101046 is a wasteful number, since it uses less digits than its factorization.

48101046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48101046 is about 6935.4917633864. The cubic root of 48101046 is about 363.6789575599.

The spelling of 48101046 in words is "forty-eight million, one hundred one thousand, forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 79 98 109 114 133 147 158 218 237 266 294 327 399 474 553 654 763 798 931 1106 1501 1526 1659 1862 2071 2289 2793 3002 3318 3871 4142 4503 4578 5341 5586 6213 7742 8611 9006 10507 10682 11613 12426 14497 16023 17222 21014 23226 25833 28994 31521 32046 43491 51666 60277 63042 73549 86982 101479 120554 147098 163609 180831 202958 220647 304437 327218 361662 421939 441294 490827 608874 843878 981654 1145263 1265817 2290526 2531634 3435789 6871578 8016841 16033682 24050523 48101046