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48310416 = 24327114357
BaseRepresentation
bin1011100001001…
…0100010010000
310100220102102200
42320102202100
544331413131
64443243200
71124426460
oct270224220
9110812380
1048310416
11252a7370
1214219500
13a01635b
1465b7ba0
1543942e6
hex2e12890

48310416 has 120 divisors (see below), whose sum is σ = 168602304. Its totient is φ = 12545280.

The previous prime is 48310411. The next prime is 48310463. The reversal of 48310416 is 61401384.

It is a self number, because there is not a number n which added to its sum of digits gives 48310416.

It is not an unprimeable number, because it can be changed into a prime (48310411) 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, 8910 + ... + 13266.

Almost surely, 248310416 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 48310416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84301152).

48310416 is an abundant number, since it is smaller than the sum of its proper divisors (120291888).

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

48310416 is a wasteful number, since it uses less digits than its factorization.

48310416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48310416 is about 6950.5694730720. The cubic root of 48310416 is about 364.2058570710.

The spelling of 48310416 in words is "forty-eight million, three hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4357 5544 8714 11088 13071 17428 26142 30499 34856 39213 47927 52284 60998 69712 78426 91497 95854 104568 121996 143781 156852 182994 191708 209136 243992 274491 287562 313704 335489 365988 383416 431343 487984 548982 575124 627408 670978 731976 766832 862686 1006467 1097964 1150248 1341956 1463952 1725372 2012934 2195928 2300496 2683912 3019401 3450744 4025868 4391856 5367824 6038802 6901488 8051736 12077604 16103472 24155208 48310416