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48557040 = 2435724129
BaseRepresentation
bin1011100100111…
…0101111110000
310101100221201220
42321032233300
544412311130
64452425040
71126504500
oct271165760
9111327656
1048557040
1125455694
1214318180
13a0a169c
14663da00
1543e2410
hex2e4ebf0

48557040 has 120 divisors (see below), whose sum is σ = 175145040. Its totient is φ = 11096064.

The previous prime is 48557023. The next prime is 48557077. The reversal of 48557040 is 4075584.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×485570402 = 4715572267123200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48556992 and 48557010.

It is a congruent number.

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, 9696 + ... + 13824.

It is an arithmetic number, because the mean of its divisors is an integer number (1459542).

Almost surely, 248557040 is an apocalyptic number.

48557040 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 48557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87572520).

48557040 is an abundant number, since it is smaller than the sum of its proper divisors (126588000).

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

48557040 is a wasteful number, since it uses less digits than its factorization.

48557040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 48557040 is about 6968.2881685533. The cubic root of 48557040 is about 364.8245607117.

The spelling of 48557040 in words is "forty-eight million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 4129 5880 8258 11760 12387 16516 20645 24774 28903 33032 41290 49548 57806 61935 66064 82580 86709 99096 115612 123870 144515 165160 173418 198192 202321 231224 247740 289030 330320 346836 404642 433545 462448 495480 578060 606963 693672 809284 867090 990960 1011605 1156120 1213926 1387344 1618568 1734180 2023210 2312240 2427852 3034815 3237136 3468360 4046420 4855704 6069630 6936720 8092840 9711408 12139260 16185680 24278520 48557040