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48203040 = 2535233431
BaseRepresentation
bin1011011111100…
…0010100100000
310100200222010210
42313320110200
544314444130
64441054120
71123501434
oct267702440
9110628123
1048203040
1125233726
1214187340
139ca9512
14658a9c4
1543725b0
hex2df8520

48203040 has 96 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 12769280.

The previous prime is 48203033. The next prime is 48203053. The reversal of 48203040 is 4030284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 48202998 and 48203016.

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, 111625 + ... + 112055.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 248203040 is an apocalyptic number.

48203040 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 48203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

48203040 is an abundant number, since it is smaller than the sum of its proper divisors (104642016).

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

48203040 is a wasteful number, since it uses less digits than its factorization.

48203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 48203040 is about 6942.8409170886. The cubic root of 48203040 is about 363.9358257433.

The spelling of 48203040 in words is "forty-eight million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 431 466 480 699 862 932 1165 1293 1398 1724 1864 2155 2330 2586 2796 3448 3495 3728 4310 4660 5172 5592 6465 6896 6990 7456 8620 9320 10344 11184 12930 13792 13980 17240 18640 20688 22368 25860 27960 34480 37280 41376 51720 55920 68960 100423 103440 111840 200846 206880 301269 401692 502115 602538 803384 1004230 1205076 1506345 1606768 2008460 2410152 3012690 3213536 4016920 4820304 6025380 8033840 9640608 12050760 16067680 24101520 48203040