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48709692 = 223217195971
BaseRepresentation
bin1011100111010…
…0000000111100
310101122201010200
42321310000330
544432202232
64500003500
71131011523
oct271640074
9111581120
1048709692
112554a349
1214390590
13a126005
14667d4ba
15442277c
hex2e7403c

48709692 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14031360.

The previous prime is 48709691. The next prime is 48709747. The reversal of 48709692 is 29690784.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48709691) 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, 686017 + ... + 686087.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 248709692 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 48709692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

48709692 is an abundant number, since it is smaller than the sum of its proper divisors (92813508).

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

48709692 is a wasteful number, since it uses less digits than its factorization.

48709692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 48709692 is about 6979.2329091384. The cubic root of 48709692 is about 365.2064685361.

The spelling of 48709692 in words is "forty-eight million, seven hundred nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 59 68 71 76 102 114 118 142 153 171 177 204 213 228 236 284 306 323 342 354 426 531 612 639 646 684 708 852 969 1003 1062 1121 1207 1278 1292 1349 1938 2006 2124 2242 2414 2556 2698 2907 3009 3363 3621 3876 4012 4047 4189 4484 4828 5396 5814 6018 6726 7242 8094 8378 9027 10089 10863 11628 12036 12141 12567 13452 14484 16188 16756 18054 19057 20178 21726 22933 24282 25134 36108 37701 38114 40356 43452 45866 48564 50268 57171 68799 71213 75402 76228 79591 91732 114342 137598 142426 150804 159182 171513 206397 213639 228684 238773 275196 284852 318364 343026 412794 427278 477546 640917 686052 716319 825588 854556 955092 1281834 1353047 1432638 2563668 2706094 2865276 4059141 5412188 8118282 12177423 16236564 24354846 48709692