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48145088 = 2617219137
BaseRepresentation
bin1011011110101…
…0001011000000
310100121000122102
42313222023000
544311120323
64435525532
71123140455
oct267521300
9110530572
1048145088
11251a4132
12141598a8
139c89024
14657382c
154360328
hex2dea2c0

48145088 has 84 divisors (see below), whose sum is σ = 107609640. Its totient is φ = 21307392.

The previous prime is 48145087. The next prime is 48145091. The reversal of 48145088 is 88054184.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (48145087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351356 + ... + 351492.

Almost surely, 248145088 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 48145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53804820).

48145088 is an abundant number, since it is smaller than the sum of its proper divisors (59464552).

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

48145088 is a wasteful number, since it uses less digits than its factorization.

48145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 48145088 is about 6938.6661542403. Note that the first 3 decimals coincide. The cubic root of 48145088 is about 363.7899202378.

The spelling of 48145088 in words is "forty-eight million, one hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 137 152 272 274 289 304 323 544 548 578 608 646 1088 1096 1156 1216 1292 2192 2312 2329 2584 2603 4384 4624 4658 5168 5206 5491 8768 9248 9316 10336 10412 10982 18496 18632 20672 20824 21964 37264 39593 41648 43928 44251 74528 79186 83296 87856 88502 149056 158372 166592 175712 177004 316744 351424 354008 633488 708016 752267 1266976 1416032 1504534 2533952 2832064 3009068 6018136 12036272 24072544 48145088