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48209040 = 24335112029
BaseRepresentation
bin1011011111100…
…1110010010000
310100201021101000
42313321302100
544320142130
64441142000
71123525065
oct267716220
9110637330
1048209040
1125238190
121418a900
139cac179
14658cc6c
154374260
hex2df9c90

48209040 has 160 divisors (see below), whose sum is σ = 181238400. Its totient is φ = 11681280.

The previous prime is 48209027. The next prime is 48209041. The reversal of 48209040 is 4090284.

It is a super-2 number, since 2×482090402 = 4648223075443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48208995 and 48209013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48209041) 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, 22746 + ... + 24774.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 248209040 is an apocalyptic number.

48209040 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 48209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90619200).

48209040 is an abundant number, since it is smaller than the sum of its proper divisors (133029360).

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

48209040 is a wasteful number, since it uses less digits than its factorization.

48209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48209040 is about 6943.2730034185. The cubic root of 48209040 is about 363.9509252360.

The spelling of 48209040 in words is "forty-eight million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2029 2160 2376 2640 2970 3960 4058 4752 5940 6087 7920 8116 10145 11880 12174 16232 18261 20290 22319 23760 24348 30435 32464 36522 40580 44638 48696 54783 60870 66957 73044 81160 89276 91305 97392 109566 111595 121740 133914 146088 162320 178552 182610 200871 219132 223190 243480 267828 273915 292176 334785 357104 365220 401742 438264 446380 486960 535656 547830 602613 669570 730440 803484 876528 892760 1004355 1071312 1095660 1205226 1339140 1460880 1606968 1785520 2008710 2191320 2410452 2678280 3013065 3213936 4017420 4382640 4820904 5356560 6026130 8034840 9641808 12052260 16069680 24104520 48209040