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48916712 = 2313297373
BaseRepresentation
bin1011101010011…
…0100011101000
310102001020010002
42322212203220
5100010313322
64504242132
71132533215
oct272464350
9112036102
1048916712
1125680939
1214470348
13a199300
1466d4b0c
154463c92
hex2ea68e8

48916712 has 48 divisors (see below), whose sum is σ = 100609740. Its totient is φ = 22284288.

The previous prime is 48916711. The next prime is 48916727. The reversal of 48916712 is 21761984.

48916712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7107556 + 41809156 = 2666^2 + 6466^2 .

It is not an unprimeable number, because it can be changed into a prime (48916711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130958 + ... + 131330.

Almost surely, 248916712 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 48916712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50304870).

48916712 is an abundant number, since it is smaller than the sum of its proper divisors (51693028).

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

48916712 is a wasteful number, since it uses less digits than its factorization.

48916712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 48916712 is about 6994.0483269706. The cubic root of 48916712 is about 365.7231226357.

The spelling of 48916712 in words is "forty-eight million, nine hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 97 104 169 194 338 373 388 676 746 776 1261 1352 1492 2522 2984 4849 5044 9698 10088 16393 19396 32786 36181 38792 63037 65572 72362 126074 131144 144724 252148 289448 470353 504296 940706 1881412 3762824 6114589 12229178 24458356 48916712