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48933720 = 23345111373
BaseRepresentation
bin1011101010101…
…0101101011000
310102002002110000
42322222231120
5100011334340
64504453000
71132633623
oct272525530
9112062400
1048933720
11256926a0
121447a160
13a1a3c84
1466dadba
154468d30
hex2eaab58

48933720 has 160 divisors (see below), whose sum is σ = 179554320. Its totient is φ = 11854080.

The previous prime is 48933707. The next prime is 48933727. The reversal of 48933720 is 2733984.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48933727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34954 + ... + 36326.

Almost surely, 248933720 is an apocalyptic number.

48933720 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 48933720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89777160).

48933720 is an abundant number, since it is smaller than the sum of its proper divisors (130620600).

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

48933720 is a wasteful number, since it uses less digits than its factorization.

48933720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 48933720 is about 6995.2641122405. The cubic root of 48933720 is about 365.7655041848.

The spelling of 48933720 in words is "forty-eight million, nine hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1373 1485 1620 1782 1980 2376 2746 2970 3240 3564 3960 4119 4455 5492 5940 6865 7128 8238 8910 10984 11880 12357 13730 15103 16476 17820 20595 24714 27460 30206 32952 35640 37071 41190 45309 49428 54920 60412 61785 74142 75515 82380 90618 98856 111213 120824 123570 135927 148284 151030 164760 181236 185355 222426 226545 247140 271854 296568 302060 362472 370710 407781 444852 453090 494280 543708 556065 604120 679635 741420 815562 889704 906180 1087416 1112130 1223343 1359270 1482840 1631124 1812360 2038905 2224260 2446686 2718540 3262248 4077810 4448520 4893372 5437080 6116715 8155620 9786744 12233430 16311240 24466860 48933720