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48660640 = 2557231889
BaseRepresentation
bin1011100110100…
…0000010100000
310101120012211221
42321220002200
544424120030
64454544424
71130415520
oct271500240
9111505757
1048660640
1125516506
1214368114
13a1098a2
146669680
154412e7a
hex2e680a0

48660640 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 15949824.

The previous prime is 48660629. The next prime is 48660671. The reversal of 48660640 is 4606684.

It is a junction number, because it is equal to n+sod(n) for n = 48660596 and 48660605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24816 + ... + 26704.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 248660640 is an apocalyptic number.

48660640 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 48660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

48660640 is an abundant number, since it is smaller than the sum of its proper divisors (88508000).

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

48660640 is a wasteful number, since it uses less digits than its factorization.

48660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 48660640 is about 6975.7178842037. The cubic root of 48660640 is about 365.0838363750.

The spelling of 48660640 in words is "forty-eight million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 1889 2576 3220 3680 3778 5152 6440 7556 9445 12880 13223 15112 18890 25760 26446 30224 37780 43447 52892 60448 66115 75560 86894 105784 132230 151120 173788 211568 217235 264460 302240 304129 347576 423136 434470 528920 608258 695152 868940 1057840 1216516 1390304 1520645 1737880 2115680 2433032 3041290 3475760 4866064 6082580 6951520 9732128 12165160 24330320 48660640