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48078420 = 223513531163
BaseRepresentation
bin1011011101100…
…1111001010100
310100110122012020
42313121321110
544302002140
64434253140
71122442215
oct267317124
9110418166
1048078420
1125159035
12141271b0
139c64890
14655740c
15434a6d0
hex2dd9e54

48078420 has 96 divisors (see below), whose sum is σ = 147837312. Its totient is φ = 11601408.

The previous prime is 48078409. The next prime is 48078461. The reversal of 48078420 is 2487084.

It is a super-3 number, since 3×480784203 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40759 + ... + 41921.

It is an arithmetic number, because the mean of its divisors is an integer number (1539972).

Almost surely, 248078420 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 48078420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73918656).

48078420 is an abundant number, since it is smaller than the sum of its proper divisors (99758892).

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

48078420 is a wasteful number, since it uses less digits than its factorization.

48078420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 48078420 is about 6933.8603966333. The cubic root of 48078420 is about 363.6219256010.

The spelling of 48078420 in words is "forty-eight million, seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1163 1378 1590 2067 2326 2756 3180 3445 3489 4134 4652 5815 6890 6978 8268 10335 11630 13780 13956 15119 17445 20670 23260 30238 34890 41340 45357 60476 61639 69780 75595 90714 123278 151190 181428 184917 226785 246556 302380 308195 369834 453570 616390 739668 801307 907140 924585 1232780 1602614 1849170 2403921 3205228 3698340 4006535 4807842 8013070 9615684 12019605 16026140 24039210 48078420