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48988296 = 2332737271
BaseRepresentation
bin1011101011100…
…0000010001000
310102011212022100
42322320002020
5100020111141
64505553400
71133252010
oct272700210
9112155270
1048988296
112571a6a5
12144a5860
13a1c2a76
146712c40
15447a0b6
hex2eb8088

48988296 has 144 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 13426560.

The previous prime is 48988273. The next prime is 48988301. The reversal of 48988296 is 69288984.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 689941 + ... + 690011.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 248988296 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 48988296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017120).

48988296 is an abundant number, since it is smaller than the sum of its proper divisors (109045944).

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

48988296 is a wasteful number, since it uses less digits than its factorization.

48988296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 48988296 is about 6999.1639500729. The cubic root of 48988296 is about 365.9014336387.

It can be divided in two parts, 48988 and 296, that added together give a square (49284 = 2222).

The spelling of 48988296 in words is "forty-eight million, nine hundred eighty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 71 72 74 84 111 126 142 148 168 213 222 252 259 284 296 333 426 444 497 504 518 568 639 666 777 852 888 994 1036 1278 1332 1369 1491 1554 1704 1988 2072 2331 2556 2627 2664 2738 2982 3108 3976 4107 4473 4662 5112 5254 5476 5964 6216 7881 8214 8946 9324 9583 10508 10952 11928 12321 15762 16428 17892 18389 18648 19166 21016 23643 24642 28749 31524 32856 35784 36778 38332 47286 49284 55167 57498 63048 73556 76664 86247 94572 97199 98568 110334 114996 147112 165501 172494 189144 194398 220668 229992 291597 331002 344988 388796 441336 583194 662004 680393 689976 777592 874791 1166388 1324008 1360786 1749582 2041179 2332776 2721572 3499164 4082358 5443144 6123537 6998328 8164716 12247074 16329432 24494148 48988296