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48365680 = 24511175361
BaseRepresentation
bin1011100010000…
…0000001110000
310101000020020111
42320200001300
544340200210
64444351104
71125046546
oct270400160
9111006214
1048365680
1125334940
1214245494
13a03555c
1465cdd96
1543a588a
hex2e20070

48365680 has 160 divisors (see below), whose sum is σ = 134509248. Its totient is φ = 15974400.

The previous prime is 48365671. The next prime is 48365683. The reversal of 48365680 is 8656384.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48365683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792850 + ... + 792910.

Almost surely, 248365680 is an apocalyptic number.

48365680 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 48365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67254624).

48365680 is an abundant number, since it is smaller than the sum of its proper divisors (86143568).

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

48365680 is a wasteful number, since it uses less digits than its factorization.

48365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 48365680 is about 6954.5438383837. The cubic root of 48365680 is about 364.3446801530.

The spelling of 48365680 in words is "forty-eight million, three hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 53 55 61 68 80 85 88 106 110 122 136 170 176 187 212 220 244 265 272 305 340 374 424 440 488 530 583 610 671 680 748 848 880 901 935 976 1037 1060 1166 1220 1342 1360 1496 1802 1870 2074 2120 2332 2440 2684 2915 2992 3233 3355 3604 3740 4148 4240 4505 4664 4880 5185 5368 5830 6466 6710 7208 7480 8296 9010 9328 9911 10370 10736 11407 11660 12932 13420 14416 14960 16165 16592 18020 19822 20740 22814 23320 25864 26840 32330 35563 36040 39644 41480 45628 46640 49555 51728 53680 54961 57035 64660 71126 72080 79288 82960 91256 99110 109922 114070 129320 142252 158576 177815 182512 198220 219844 228140 258640 274805 284504 355630 396440 439688 456280 549610 569008 604571 711260 792880 879376 912560 1099220 1209142 1422520 2198440 2418284 2845040 3022855 4396880 4836568 6045710 9673136 12091420 24182840 48365680