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48708540 = 22345107281
BaseRepresentation
bin1011100111001…
…1101110111100
310101122122120000
42321303232330
544432133130
64455554300
71131005256
oct271635674
9111578500
1048708540
11255494a1
121438b990
13a12562a
14667ccd6
154422260
hex2e73bbc

48708540 has 120 divisors (see below), whose sum is σ = 154777392. Its totient is φ = 12821760.

The previous prime is 48708521. The next prime is 48708557. The reversal of 48708540 is 4580784.

48708540 is a `hidden beast` number, since 48 + 70 + 8 + 540 = 666.

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 = 48708495 and 48708504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173200 + ... + 173480.

Almost surely, 248708540 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 48708540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77388696).

48708540 is an abundant number, since it is smaller than the sum of its proper divisors (106068852).

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

48708540 is a wasteful number, since it uses less digits than its factorization.

48708540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48708540 is about 6979.1503780904. The cubic root of 48708540 is about 365.2035894296.

The spelling of 48708540 in words is "forty-eight million, seven hundred eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 281 321 324 405 428 535 540 562 642 810 843 963 1070 1124 1284 1405 1605 1620 1686 1926 2140 2529 2810 2889 3210 3372 3852 4215 4815 5058 5620 5778 6420 7587 8430 8667 9630 10116 11556 12645 14445 15174 16860 17334 19260 22761 25290 28890 30067 30348 34668 37935 43335 45522 50580 57780 60134 75870 86670 90201 91044 113805 120268 150335 151740 173340 180402 227610 270603 300670 360804 451005 455220 541206 601340 811809 902010 1082412 1353015 1623618 1804020 2435427 2706030 3247236 4059045 4870854 5412060 8118090 9741708 12177135 16236180 24354270 48708540