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48784134 = 23719113541
BaseRepresentation
bin1011101000011…
…0001100000110
310101210111020210
42322012030012
544442043014
64501340250
71131441540
oct272061406
9111714223
1048784134
11255a0273
1214407686
13a150b69
14669c690
154439859
hex2e86306

48784134 has 64 divisors (see below), whose sum is σ = 118632960. Its totient is φ = 13063680.

The previous prime is 48784121. The next prime is 48784147. The reversal of 48784134 is 43148784.

It is an interprime number because it is at equal distance from previous prime (48784121) and next prime (48784147).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48784092 and 48784101.

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 31 ways as a sum of consecutive naturals, for example, 89904 + ... + 90444.

It is an arithmetic number, because the mean of its divisors is an integer number (1853640).

Almost surely, 248784134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48784134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59316480).

48784134 is an abundant number, since it is smaller than the sum of its proper divisors (69848826).

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

48784134 is a wasteful number, since it uses less digits than its factorization.

48784134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685.

The product of its digits is 86016, while the sum is 39.

The square root of 48784134 is about 6984.5639806648. The cubic root of 48784134 is about 365.3924196336.

The spelling of 48784134 in words is "forty-eight million, seven hundred eighty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 113 114 133 226 266 339 399 541 678 791 798 1082 1582 1623 2147 2373 3246 3787 4294 4746 6441 7574 10279 11361 12882 15029 20558 22722 30058 30837 45087 61133 61674 71953 90174 122266 143906 183399 215859 366798 427931 431718 855862 1161527 1283793 2323054 2567586 3484581 6969162 8130689 16261378 24392067 48784134