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48520992 = 25313172287
BaseRepresentation
bin1011100100010…
…1111100100000
310101022010021210
42321011330200
544410132432
64451550120
71126264422
oct271057440
9111263253
1048520992
11254305a3
12142bb340
13a08b160
146630812
1543d68cc
hex2e45f20

48520992 has 96 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 14045184.

The previous prime is 48520991. The next prime is 48521017. The reversal of 48520992 is 29902584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48520992.

It is not an unprimeable number, because it can be changed into a prime (48520991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20073 + ... + 22359.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 248520992 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 48520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

48520992 is an abundant number, since it is smaller than the sum of its proper divisors (96776160).

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

48520992 is a wasteful number, since it uses less digits than its factorization.

48520992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 48520992 is about 6965.7011133123. The cubic root of 48520992 is about 364.7342583133.

The spelling of 48520992 in words is "forty-eight million, five hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2287 2652 3536 4574 5304 6861 7072 9148 10608 13722 18296 21216 27444 29731 36592 38879 54888 59462 73184 77758 89193 109776 116637 118924 155516 178386 219552 233274 237848 311032 356772 466548 475696 505427 622064 713544 933096 951392 1010854 1244128 1427088 1516281 1866192 2021708 2854176 3032562 3732384 4043416 6065124 8086832 12130248 16173664 24260496 48520992