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48968460 = 223251631669
BaseRepresentation
bin1011101011001…
…1001100001100
310102010212002200
42322303030030
5100013442320
64505321500
71133140122
oct272631414
9112125080
1048968460
1125706802
1214496290
13a1b6a28
146709912
154474290
hex2eb330c

48968460 has 72 divisors (see below), whose sum is σ = 149538480. Its totient is φ = 12970368.

The previous prime is 48968441. The next prime is 48968461. The reversal of 48968460 is 6486984.

It is a happy number.

48968460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48968461) 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 23 ways as a sum of consecutive naturals, for example, 28506 + ... + 30174.

Almost surely, 248968460 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 48968460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74769240).

48968460 is an abundant number, since it is smaller than the sum of its proper divisors (100570020).

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

48968460 is a wasteful number, since it uses less digits than its factorization.

48968460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 48968460 is about 6997.7467802143. The cubic root of 48968460 is about 365.8520408839.

The spelling of 48968460 in words is "forty-eight million, nine hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1669 1956 2445 2934 3260 3338 4890 5007 5868 6676 7335 8345 9780 10014 14670 15021 16690 20028 25035 29340 30042 33380 50070 60084 75105 100140 150210 272047 300420 544094 816141 1088188 1360235 1632282 2448423 2720470 3264564 4080705 4896846 5440940 8161410 9793692 12242115 16322820 24484230 48968460