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48076740 = 2234559503
BaseRepresentation
bin1011011101100…
…1011111000100
310100110112220000
42313121133010
544301423430
64434241300
71122434265
oct267313704
9110415800
1048076740
1125157848
1214126230
139c63b9a
14655696c
154349e60
hex2dd97c4

48076740 has 120 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 12578112.

The previous prime is 48076729. The next prime is 48076741. The reversal of 48076740 is 4767084.

It is a happy number.

It is a super-3 number, since 3×480767403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 48076695 and 48076704.

It is not an unprimeable number, because it can be changed into a prime (48076741) 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, 95329 + ... + 95831.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 248076740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48076740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

48076740 is an abundant number, since it is smaller than the sum of its proper divisors (105602940).

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

48076740 is a wasteful number, since it uses less digits than its factorization.

48076740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48076740 is about 6933.7392509381. The cubic root of 48076740 is about 363.6176902153.

The spelling of 48076740 in words is "forty-eight million, seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 503 531 540 590 708 810 885 1006 1062 1180 1509 1593 1620 1770 2012 2124 2515 2655 3018 3186 3540 4527 4779 5030 5310 6036 6372 7545 7965 9054 9558 10060 10620 13581 15090 15930 18108 19116 22635 23895 27162 29677 30180 31860 40743 45270 47790 54324 59354 67905 81486 89031 90540 95580 118708 135810 148385 162972 178062 203715 267093 271620 296770 356124 407430 445155 534186 593540 801279 814860 890310 1068372 1335465 1602558 1780620 2403837 2670930 3205116 4006395 4807674 5341860 8012790 9615348 12019185 16025580 24038370 48076740