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48070656 = 21532163
BaseRepresentation
bin1011011101100…
…0000000000000
310100110020112200
42313120000000
544301230111
64434153200
71122410454
oct267300000
9110406480
1048070656
1125153217
1214122800
139c6119a
146554664
154348256
hex2dd8000

48070656 has 96 divisors (see below), whose sum is σ = 139720620. Its totient is φ = 15925248.

The previous prime is 48070651. The next prime is 48070657. The reversal of 48070656 is 65607084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480706563 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48070656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48070651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294831 + ... + 294993.

Almost surely, 248070656 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 48070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69860310).

48070656 is an abundant number, since it is smaller than the sum of its proper divisors (91649964).

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

48070656 is an equidigital number, since it uses as much as digits as its factorization.

48070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48070656 is about 6933.3005127428. The cubic root of 48070656 is about 363.6023512430.

The spelling of 48070656 in words is "forty-eight million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 512 576 652 768 978 1024 1152 1304 1467 1536 1956 2048 2304 2608 2934 3072 3912 4096 4608 5216 5868 6144 7824 8192 9216 10432 11736 12288 15648 16384 18432 20864 23472 24576 31296 32768 36864 41728 46944 49152 62592 73728 83456 93888 98304 125184 147456 166912 187776 250368 294912 333824 375552 500736 667648 751104 1001472 1335296 1502208 2002944 2670592 3004416 4005888 5341184 6008832 8011776 12017664 16023552 24035328 48070656