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48952200 = 23352117417
BaseRepresentation
bin1011101010111…
…1001110001000
310102010000210110
42322233032020
5100012432300
64505114320
71133041533
oct272571610
9112100713
1048952200
11256a5570
12144889a0
13a1ac4cb
146703a1a
15446e550
hex2eaf388

48952200 has 96 divisors (see below), whose sum is σ = 165569760. Its totient is φ = 11865600.

The previous prime is 48952199. The next prime is 48952217. The reversal of 48952200 is 225984.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (1724685).

Almost surely, 248952200 is an apocalyptic number.

48952200 is a gapful number since it is divisible by the number (40) 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 48952200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82784880).

48952200 is an abundant number, since it is smaller than the sum of its proper divisors (116617560).

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

48952200 is a wasteful number, since it uses less digits than its factorization.

48952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48952200 is about 6996.5848812117. The cubic root of 48952200 is about 365.8115426208.

The spelling of 48952200 in words is "forty-eight million, nine hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 7417 14834 22251 29668 37085 44502 59336 74170 81587 89004 111255 148340 163174 178008 185425 222510 244761 296680 326348 370850 407935 445020 489522 556275 652696 741700 815870 890040 979044 1112550 1223805 1483400 1631740 1958088 2039675 2225100 2447610 3263480 4079350 4450200 4895220 6119025 8158700 9790440 12238050 16317400 24476100 48952200