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48934320 = 2435414973
BaseRepresentation
bin1011101010101…
…0110110110000
310102002010021020
42322222312300
5100011344240
64504455440
71132635441
oct272526660
9112063236
1048934320
1125693096
121447a580
13a1a4326
1466db2c8
1544690d0
hex2eaadb0

48934320 has 80 divisors (see below), whose sum is σ = 155427552. Its totient is φ = 12728320.

The previous prime is 48934297. The next prime is 48934349. The reversal of 48934320 is 2343984.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7354 + ... + 12326.

Almost surely, 248934320 is an apocalyptic number.

48934320 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 48934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77713776).

48934320 is an abundant number, since it is smaller than the sum of its proper divisors (106493232).

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

48934320 is a wasteful number, since it uses less digits than its factorization.

48934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 48934320 is about 6995.3069982668. The cubic root of 48934320 is about 365.7669991213.

The spelling of 48934320 in words is "forty-eight million, nine hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 4973 9840 9946 14919 19892 24865 29838 39784 49730 59676 74595 79568 99460 119352 149190 198920 203893 238704 298380 397840 407786 596760 611679 815572 1019465 1193520 1223358 1631144 2038930 2446716 3058395 3262288 4077860 4893432 6116790 8155720 9786864 12233580 16311440 24467160 48934320