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48365136 = 24321723859
BaseRepresentation
bin1011100001111…
…1111001010000
310101000012111100
42320133321100
544340141021
64444344400
71125045141
oct270377120
9111005440
1048365136
1125334496
1214245100
13a035231
1465cdac8
1543a5626
hex2e1fe50

48365136 has 120 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 14496768.

The previous prime is 48365123. The next prime is 48365137. The reversal of 48365136 is 63156384.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48365136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48365137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55875 + ... + 56733.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 248365136 is an apocalyptic number.

48365136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

48365136 is an abundant number, since it is smaller than the sum of its proper divisors (101357424).

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

48365136 is a wasteful number, since it uses less digits than its factorization.

48365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 48365136 is about 6954.5047271535. The cubic root of 48365136 is about 364.3433141413.

The spelling of 48365136 in words is "forty-eight million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 102 136 138 144 153 184 204 207 272 276 306 368 391 408 414 552 612 782 816 828 859 1104 1173 1224 1564 1656 1718 2346 2448 2577 3128 3312 3436 3519 4692 5154 6256 6872 7038 7731 9384 10308 13744 14076 14603 15462 18768 19757 20616 28152 29206 30924 39514 41232 43809 56304 58412 59271 61848 79028 87618 116824 118542 123696 131427 158056 175236 177813 233648 237084 262854 316112 335869 350472 355626 474168 525708 671738 700944 711252 948336 1007607 1051416 1343476 1422504 2015214 2102832 2686952 2845008 3022821 4030428 5373904 6045642 8060856 12091284 16121712 24182568 48365136