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48915776 = 2671337227
BaseRepresentation
bin1011101010011…
…0010101000000
310102001011211102
42322212111000
5100010301101
64504233532
71132530410
oct272462500
9112034742
1048915776
1125680168
121446b8a8
13a198a60
1466d4640
15446386b
hex2ea6540

48915776 has 112 divisors (see below), whose sum is σ = 123236736. Its totient is φ = 18745344.

The previous prime is 48915761. The next prime is 48915781. The reversal of 48915776 is 67751984.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 48915776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215375 + ... + 215601.

It is an arithmetic number, because the mean of its divisors is an integer number (1100328).

Almost surely, 248915776 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 48915776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61618368).

48915776 is an abundant number, since it is smaller than the sum of its proper divisors (74320960).

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

48915776 is a wasteful number, since it uses less digits than its factorization.

48915776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 423360, while the sum is 47.

The square root of 48915776 is about 6993.9814126147. The cubic root of 48915776 is about 365.7207899699.

The spelling of 48915776 in words is "forty-eight million, nine hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 148 182 208 224 227 259 296 364 416 448 454 481 518 592 728 832 908 962 1036 1184 1456 1589 1816 1924 2072 2368 2912 2951 3178 3367 3632 3848 4144 5824 5902 6356 6734 7264 7696 8288 8399 11804 12712 13468 14528 15392 16576 16798 20657 23608 25424 26936 30784 33596 41314 47216 50848 53872 58793 67192 82628 94432 101696 107744 109187 117586 134384 165256 188864 215488 218374 235172 268768 330512 436748 470344 537536 661024 764309 873496 940688 1322048 1528618 1746992 1881376 3057236 3493984 3762752 6114472 6987968 12228944 24457888 48915776