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48133530 = 23252572081
BaseRepresentation
bin1011011110011…
…1010110011010
310100120102210100
42313213112122
544310233110
64435400230
71123061664
oct267472632
9110512710
1048133530
1125196485
1214153076
139c839a3
14656d534
15435bbc0
hex2de759a

48133530 has 48 divisors (see below), whose sum is σ = 125694504. Its totient is φ = 12779520.

The previous prime is 48133513. The next prime is 48133541. The reversal of 48133530 is 3533184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46335249 + 1798281 = 6807^2 + 1341^2 .

It is a super-3 number, since 3×481335303 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48133494 and 48133503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22090 + ... + 24170.

Almost surely, 248133530 is an apocalyptic number.

48133530 is an abundant number, since it is smaller than the sum of its proper divisors (77560974).

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

48133530 is a wasteful number, since it uses less digits than its factorization.

48133530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 48133530 is about 6937.8332352399. The cubic root of 48133530 is about 363.7608067077.

The spelling of 48133530 in words is "forty-eight million, one hundred thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2081 2313 2570 3855 4162 4626 6243 7710 10405 11565 12486 18729 20810 23130 31215 37458 62430 93645 187290 534817 1069634 1604451 2674085 3208902 4813353 5348170 8022255 9626706 16044510 24066765 48133530