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48578440 = 23519411559
BaseRepresentation
bin1011100101001…
…1111110001000
310101102001002111
42321103332020
544414002230
64453112104
71126624051
oct271237610
9111361074
1048578440
112546a779
1214328634
13a0ab351
146647728
1543e892a
hex2e53f88

48578440 has 64 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 17948160.

The previous prime is 48578429. The next prime is 48578449. The reversal of 48578440 is 4487584.

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

It is a junction number, because it is equal to n+sod(n) for n = 48578393 and 48578402.

It is not an unprimeable number, because it can be changed into a prime (48578449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30381 + ... + 31939.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 248578440 is an apocalyptic number.

48578440 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 48578440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

48578440 is an abundant number, since it is smaller than the sum of its proper divisors (69357560).

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

48578440 is a wasteful number, since it uses less digits than its factorization.

48578440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 48578440 is about 6969.8235271777. The cubic root of 48578440 is about 364.8781478534.

48578440 divided by its sum of digits (40) gives a triangular number (1214461 = T1558).

The spelling of 48578440 in words is "forty-eight million, five hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1559 1640 3116 3118 3895 6232 6236 7790 7795 12472 15580 15590 29621 31160 31180 59242 62360 63919 118484 127838 148105 236968 255676 296210 319595 511352 592420 639190 1184840 1214461 1278380 2428922 2556760 4857844 6072305 9715688 12144610 24289220 48578440