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48976452 = 223271953193
BaseRepresentation
bin1011101011010…
…1001001000100
310102011021001200
42322311021010
5100014221302
64505422500
71133202330
oct272651104
9112137050
1048976452
1125711808
121449aa30
13a1ba565
14670c7c0
15447681c
hex2eb5244

48976452 has 144 divisors (see below), whose sum is σ = 152530560. Its totient is φ = 12939264.

The previous prime is 48976451. The next prime is 48976457. The reversal of 48976452 is 25467984.

It is a happy number.

It is a super-4 number, since 4×489764524 (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48976398 and 48976407.

It is not an unprimeable number, because it can be changed into a prime (48976451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253668 + ... + 253860.

It is an arithmetic number, because the mean of its divisors is an integer number (1059240).

Almost surely, 248976452 is an apocalyptic number.

48976452 is a gapful number since it is divisible by the number (42) 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 48976452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76265280).

48976452 is an abundant number, since it is smaller than the sum of its proper divisors (103554108).

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

48976452 is a wasteful number, since it uses less digits than its factorization.

48976452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48976452 is about 6998.3177978711. The cubic root of 48976452 is about 365.8719430172.

The spelling of 48976452 in words is "forty-eight million, nine hundred seventy-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 53 57 63 76 84 106 114 126 133 159 171 193 212 228 252 266 318 342 371 386 399 477 532 579 636 684 742 772 798 954 1007 1113 1158 1197 1351 1484 1596 1737 1908 2014 2226 2316 2394 2702 3021 3339 3474 3667 4028 4053 4452 4788 5404 6042 6678 6948 7049 7334 8106 9063 10229 11001 12084 12159 13356 14098 14668 16212 18126 20458 21147 22002 24318 25669 28196 30687 33003 36252 40916 42294 44004 48636 51338 61374 63441 66006 71603 77007 84588 92061 102676 122748 126882 132012 143206 154014 184122 194351 214809 231021 253764 286412 308028 368244 388702 429618 462042 583053 644427 777404 859236 924084 1166106 1288854 1360457 1749159 2332212 2577708 2720914 3498318 4081371 5441828 6996636 8162742 12244113 16325484 24488226 48976452