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48453440 = 265797223
BaseRepresentation
bin1011100011010…
…1011101000000
310101011200121212
42320311131000
544401002230
64450305252
71125563450
oct270653500
9111150555
1048453440
1125394872
1214288228
13a066499
146613d60
1543c1895
hex2e35740

48453440 has 112 divisors (see below), whose sum is σ = 133819392. Its totient is φ = 16367616.

The previous prime is 48453409. The next prime is 48453467. The reversal of 48453440 is 4435484.

48453440 = T225 + T226 + ... + T670.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×484534404 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48453397 and 48453406.

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, 217169 + ... + 217391.

It is an arithmetic number, because the mean of its divisors is an integer number (1194816).

Almost surely, 248453440 is an apocalyptic number.

48453440 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 48453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66909696).

48453440 is an abundant number, since it is smaller than the sum of its proper divisors (85365952).

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

48453440 is a wasteful number, since it uses less digits than its factorization.

48453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 48453440 is about 6960.8505227450. The cubic root of 48453440 is about 364.5649159966.

The spelling of 48453440 in words is "forty-eight million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 140 160 194 223 224 280 320 388 446 448 485 560 679 776 892 970 1115 1120 1358 1552 1561 1784 1940 2230 2240 2716 3104 3122 3395 3568 3880 4460 5432 6208 6244 6790 7136 7760 7805 8920 10864 12488 13580 14272 15520 15610 17840 21631 21728 24976 27160 31040 31220 35680 43262 43456 49952 54320 62440 71360 86524 99904 108155 108640 124880 151417 173048 216310 217280 249760 302834 346096 432620 499520 605668 692192 757085 865240 1211336 1384384 1514170 1730480 2422672 3028340 3460960 4845344 6056680 6921920 9690688 12113360 24226720 48453440