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48366552 = 233131941199
BaseRepresentation
bin1011100010000…
…0001111011000
310101000021102210
42320200033120
544340212202
64444355120
71125052233
oct270401730
9111007383
1048366552
1125335563
1214245aa0
13a035a80
1465d041a
1543a5c6c
hex2e203d8

48366552 has 128 divisors (see below), whose sum is σ = 141120000. Its totient is φ = 13685760.

The previous prime is 48366551. The next prime is 48366557. The reversal of 48366552 is 25566384.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48366552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48366551) 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, 242949 + ... + 243147.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 248366552 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 48366552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

48366552 is an abundant number, since it is smaller than the sum of its proper divisors (92753448).

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

48366552 is a wasteful number, since it uses less digits than its factorization.

48366552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 48366552 is about 6954.6065309261. The cubic root of 48366552 is about 364.3468697679.

The spelling of 48366552 in words is "forty-eight million, three hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 41 52 57 76 78 82 104 114 123 152 156 164 199 228 246 247 312 328 398 456 492 494 533 597 741 779 796 984 988 1066 1194 1482 1558 1592 1599 1976 2132 2337 2388 2587 2964 3116 3198 3781 4264 4674 4776 5174 5928 6232 6396 7562 7761 8159 9348 10127 10348 11343 12792 15124 15522 16318 18696 20254 20696 22686 24477 30248 30381 31044 32636 40508 45372 48954 49153 60762 62088 65272 81016 90744 97908 98306 106067 121524 147459 155021 195816 196612 212134 243048 294918 310042 318201 393224 424268 465063 589836 620084 636402 848536 930126 1179672 1240168 1272804 1860252 2015273 2545608 3720504 4030546 6045819 8061092 12091638 16122184 24183276 48366552