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48209742 = 235737383
BaseRepresentation
bin1011011111100…
…1111101001110
310100201022100000
42313321331032
544320202432
64441145130
71123530120
oct267717516
9110638300
1048209742
1125238769
121418b1a6
139cac599
14658d210
15437457c
hex2df9f4e

48209742 has 96 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 13366944.

The previous prime is 48209731. The next prime is 48209789. The reversal of 48209742 is 24790284.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48209697 and 48209706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125683 + ... + 126065.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 248209742 is an apocalyptic number.

48209742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48209742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

48209742 is an abundant number, since it is smaller than the sum of its proper divisors (79265970).

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

48209742 is a wasteful number, since it uses less digits than its factorization.

48209742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48209742 is about 6943.3235557620. The cubic root of 48209742 is about 363.9526917948.

The spelling of 48209742 in words is "forty-eight million, two hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 383 486 518 567 666 766 777 999 1134 1149 1554 1701 1998 2298 2331 2681 2997 3402 3447 4662 5362 5994 6894 6993 8043 8991 10341 13986 14171 16086 17982 20682 20979 24129 28342 31023 41958 42513 48258 62046 62937 72387 85026 93069 99197 125874 127539 144774 186138 198394 217161 255078 297591 382617 434322 595182 651483 765234 892773 1147851 1302966 1785546 2295702 2678319 3443553 5356638 6887106 8034957 16069914 24104871 48209742