Search a number
-
+
48358674 = 2337132757
BaseRepresentation
bin1011100001111…
…0010100010010
310100222212122000
42320132110102
544334434144
64444254430
71125020250
oct270362422
9110885560
1048358674
112532a651
1214241416
13a032300
1465cb5d0
1543a3769
hex2e1e512

48358674 has 96 divisors (see below), whose sum is σ = 133165440. Its totient is φ = 12737088.

The previous prime is 48358663. The next prime is 48358733. The reversal of 48358674 is 47685384.

It is a super-2 number, since 2×483586742 = 4677122702076552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63504 + ... + 64260.

It is an arithmetic number, because the mean of its divisors is an integer number (1387140).

Almost surely, 248358674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48358674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66582720).

48358674 is an abundant number, since it is smaller than the sum of its proper divisors (84806766).

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

48358674 is a wasteful number, since it uses less digits than its factorization.

48358674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 48358674 is about 6954.0401206781. The cubic root of 48358674 is about 364.3270869471.

The spelling of 48358674 in words is "forty-eight million, three hundred fifty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 338 351 378 507 546 702 757 819 1014 1183 1514 1521 1638 2271 2366 2457 3042 3549 4542 4563 4914 5299 6813 7098 9126 9841 10598 10647 13626 15897 19682 20439 21294 29523 31794 31941 40878 47691 59046 63882 68887 88569 95382 127933 137774 143073 177138 206661 255866 265707 286146 383799 413322 531414 619983 767598 895531 1151397 1239966 1791062 1859949 2302794 2686593 3454191 3719898 5373186 6908382 8059779 16119558 24179337 48358674