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48697032 = 23329313761
BaseRepresentation
bin1011100111000…
…0111011001000
310101122001202210
42321300323020
544431301112
64455425120
71130626566
oct271607310
9111561683
1048697032
112554088a
12143851a0
13a120317
146678a36
15441db3c
hex2e70ec8

48697032 has 128 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 14515200.

The previous prime is 48697031. The next prime is 48697037. The reversal of 48697032 is 23079684.

48697032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48697031) 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 31 ways as a sum of consecutive naturals, for example, 798282 + ... + 798342.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 248697032 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 48697032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

48697032 is an abundant number, since it is smaller than the sum of its proper divisors (87008568).

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

48697032 is a wasteful number, since it uses less digits than its factorization.

48697032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48697032 is about 6978.3258737322. The cubic root of 48697032 is about 365.1748258635.

The spelling of 48697032 in words is "forty-eight million, six hundred ninety-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 37 58 61 62 74 87 93 111 116 122 124 148 174 183 186 222 232 244 248 296 348 366 372 444 488 696 732 744 888 899 1073 1147 1464 1769 1798 1891 2146 2257 2294 2697 3219 3441 3538 3596 3782 4292 4514 4588 5307 5394 5673 6438 6771 6882 7076 7192 7564 8584 9028 9176 10614 10788 11346 12876 13542 13764 14152 15128 18056 21228 21576 22692 25752 27084 27528 33263 42456 45384 54168 54839 65453 66526 69967 99789 109678 130906 133052 139934 164517 196359 199578 209901 219356 261812 266104 279868 329034 392718 399156 419802 438712 523624 559736 658068 785436 798312 839604 1316136 1570872 1679208 2029043 4058086 6087129 8116172 12174258 16232344 24348516 48697032