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48598240 = 2551721051
BaseRepresentation
bin1011100101100…
…0110011100000
310101110001020211
42321120303200
544420120430
64453343504
71130035555
oct271306340
9111401224
1048598240
1125483639
1214337b94
13a0b7372
146650a2c
1543ee72a
hex2e58ce0

48598240 has 72 divisors (see below), whose sum is σ = 122080392. Its totient is φ = 18278400.

The previous prime is 48598177. The next prime is 48598283. The reversal of 48598240 is 4289584.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 48598193 and 48598202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45715 + ... + 46765.

It is an arithmetic number, because the mean of its divisors is an integer number (1695561).

Almost surely, 248598240 is an apocalyptic number.

48598240 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 48598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61040196).

48598240 is an abundant number, since it is smaller than the sum of its proper divisors (73482152).

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

48598240 is a wasteful number, since it uses less digits than its factorization.

48598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 48598240 is about 6971.2437914622. The cubic root of 48598240 is about 364.9277144650.

The spelling of 48598240 in words is "forty-eight million, five hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1051 1156 1360 1445 2102 2312 2720 2890 4204 4624 5255 5780 8408 9248 10510 11560 16816 17867 21020 23120 33632 35734 42040 46240 71468 84080 89335 142936 168160 178670 285872 303739 357340 571744 607478 714680 1214956 1429360 1518695 2429912 2858720 3037390 4859824 6074780 9719648 12149560 24299120 48598240