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48958728 = 23371329773
BaseRepresentation
bin1011101011000…
…0110100001000
310102010100202020
42322300310020
5100013134403
64505204440
71133066550
oct272606410
9112110666
1048958728
11256aa465
1214490720
13a1b2480
146706160
154471453
hex2eb0d08

48958728 has 128 divisors (see below), whose sum is σ = 156038400. Its totient is φ = 12450816.

The previous prime is 48958727. The next prime is 48958729. The reversal of 48958728 is 82785984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48958727) and next prime (48958729).

It is not an unprimeable number, because it can be changed into a prime (48958727) by changing a digit.

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, 62950 + ... + 63722.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 248958728 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 48958728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019200).

48958728 is an abundant number, since it is smaller than the sum of its proper divisors (107079672).

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

48958728 is a wasteful number, since it uses less digits than its factorization.

48958728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 48958728 is about 6997.0513789739. The cubic root of 48958728 is about 365.8278027794.

The spelling of 48958728 in words is "forty-eight million, nine hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 232 273 312 348 364 377 406 546 609 696 728 754 773 812 1092 1131 1218 1508 1546 1624 2184 2262 2319 2436 2639 3016 3092 4524 4638 4872 5278 5411 6184 7917 9048 9276 10049 10556 10822 15834 16233 18552 20098 21112 21644 22417 30147 31668 32466 40196 43288 44834 60294 63336 64932 67251 70343 80392 89668 120588 129864 134502 140686 156919 179336 211029 241176 269004 281372 291421 313838 422058 470757 538008 562744 582842 627676 844116 874263 941514 1165684 1255352 1688232 1748526 1883028 2039947 2331368 3497052 3766056 4079894 6119841 6994104 8159788 12239682 16319576 24479364 48958728