Search a number
-
+
48090294 = 23372941107
BaseRepresentation
bin1011011101110…
…0110010110110
310100111020111000
42313130302312
544302342134
64434424130
71122521640
oct267346266
9110436430
1048090294
1125166a4a
1214132046
139c6a0c5
14655b890
15434de99
hex2ddccb6

48090294 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 12821760.

The previous prime is 48090293. The next prime is 48090299. The reversal of 48090294 is 49209084.

It is a happy number.

48090294 is a `hidden beast` number, since 480 + 90 + 2 + 94 = 666.

It is a super-3 number, since 3×480902943 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48090293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449389 + ... + 449495.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 248090294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48090294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

48090294 is an abundant number, since it is smaller than the sum of its proper divisors (82546506).

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

48090294 is a wasteful number, since it uses less digits than its factorization.

48090294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48090294 is about 6934.7165767607. The cubic root of 48090294 is about 363.6518578890.

It can be divided in two parts, 48090 and 294, that added together give a palindrome (48384).

The spelling of 48090294 in words is "forty-eight million, ninety thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 82 87 107 123 126 174 189 203 214 246 261 287 321 369 378 406 522 574 609 642 738 749 783 861 963 1107 1189 1218 1498 1566 1722 1827 1926 2214 2247 2378 2583 2889 3103 3567 3654 4387 4494 5166 5481 5778 6206 6741 7134 7749 8323 8774 9309 10701 10962 13161 13482 15498 16646 18618 20223 21402 21721 24969 26322 27927 30709 32103 39483 40446 43442 49938 55854 61418 64206 65163 74907 78966 83781 92127 118449 127223 130326 149814 167562 184254 195489 224721 236898 254446 276381 381669 390978 449442 552762 586467 763338 829143 890561 1145007 1172934 1658286 1781122 2290014 2671683 3435021 5343366 6870042 8015049 16030098 24045147 48090294