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487553952 = 25343831423
BaseRepresentation
bin11101000011110…
…111101110100000
31020222102022021210
4131003313232200
51444303211302
6120213550120
715040066044
oct3503675640
91228368253
10487553952
11230236556
12117345340
137a018082
1448a76024
152cc0a66c
hex1d0f7ba0

487553952 has 96 divisors (see below), whose sum is σ = 1326302208. Its totient is φ = 156715776.

The previous prime is 487553939. The next prime is 487553959. The reversal of 487553952 is 259355784.

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

It is a super-2 number, since 2×4875539522 = 475417712221636608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (487553959) 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, 341913 + ... + 343335.

It is an arithmetic number, because the mean of its divisors is an integer number (13815648).

Almost surely, 2487553952 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 487553952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663151104).

487553952 is an abundant number, since it is smaller than the sum of its proper divisors (838748256).

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

487553952 is a wasteful number, since it uses less digits than its factorization.

487553952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 487553952 is about 22080.6239042288. The cubic root of 487553952 is about 787.0594910001.

The spelling of 487553952 in words is "four hundred eighty-seven million, five hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 83 86 96 129 166 172 249 258 332 344 498 516 664 688 996 1032 1328 1376 1423 1992 2064 2656 2846 3569 3984 4128 4269 5692 7138 7968 8538 10707 11384 14276 17076 21414 22768 28552 34152 42828 45536 57104 61189 68304 85656 114208 118109 122378 136608 171312 183567 236218 244756 342624 354327 367134 472436 489512 708654 734268 944872 979024 1417308 1468536 1889744 1958048 2834616 2937072 3779488 5078687 5669232 5874144 10157374 11338464 15236061 20314748 30472122 40629496 60944244 81258992 121888488 162517984 243776976 487553952