Search a number
-
+
48297816 = 23337171879
BaseRepresentation
bin1011100000111…
…1011101011000
310100212210011000
42320033131120
544331012231
64443105000
71124344650
oct270173530
9110783130
1048297816
1125298956
1214212160
13a0106b8
1465b3360
1543906e6
hex2e0f758

48297816 has 128 divisors (see below), whose sum is σ = 162432000. Its totient is φ = 12980736.

The previous prime is 48297797. The next prime is 48297817. The reversal of 48297816 is 61879284.

48297816 is a `hidden beast` number, since 482 + 97 + 81 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48297817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24765 + ... + 26643.

It is an arithmetic number, because the mean of its divisors is an integer number (1269000).

Almost surely, 248297816 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 48297816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81216000).

48297816 is an abundant number, since it is smaller than the sum of its proper divisors (114134184).

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

48297816 is a wasteful number, since it uses less digits than its factorization.

48297816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1908 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48297816 is about 6949.6630134130. The cubic root of 48297816 is about 364.1741910716.

The spelling of 48297816 in words is "forty-eight million, two hundred ninety-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 1879 2142 2856 3213 3672 3758 4284 5637 6426 7516 8568 11274 12852 13153 15032 16911 22548 25704 26306 31943 33822 39459 45096 50733 52612 63886 67644 78918 95829 101466 105224 118377 127772 135288 157836 191658 202932 223601 236754 255544 287487 315672 355131 383316 405864 447202 473508 574974 670803 710262 766632 862461 894404 947016 1149948 1341606 1420524 1724922 1788808 2012409 2299896 2683212 2841048 3449844 4024818 5366424 6037227 6899688 8049636 12074454 16099272 24148908 48297816