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498231072 = 253219831097
BaseRepresentation
bin11101101100100…
…110011100100000
31021201111202112200
4131230212130200
52010021343242
6121234453200
715226615503
oct3554463440
91251452480
10498231072
11236269419
1211aa34200
137c2b5bb1
144a25513a
152db1904c
hex1db26720

498231072 has 144 divisors (see below), whose sum is σ = 1510760160. Its totient is φ = 155298816.

The previous prime is 498231047. The next prime is 498231077. The reversal of 498231072 is 270132894.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4982310722 = 496468402212538368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (498231077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453628 + ... + 454724.

It is an arithmetic number, because the mean of its divisors is an integer number (10491390).

Almost surely, 2498231072 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 498231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755380080).

498231072 is an abundant number, since it is smaller than the sum of its proper divisors (1012529088).

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

498231072 is a wasteful number, since it uses less digits than its factorization.

498231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 498231072 is about 22321.0902959510. The cubic root of 498231072 is about 792.7634206098.

The spelling of 498231072 in words is "four hundred ninety-eight million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 83 96 114 144 152 166 171 228 249 288 304 332 342 456 498 608 664 684 747 912 996 1097 1328 1368 1494 1577 1824 1992 2194 2656 2736 2988 3154 3291 3984 4388 4731 5472 5976 6308 6582 7968 8776 9462 9873 11952 12616 13164 14193 17552 18924 19746 20843 23904 25232 26328 28386 35104 37848 39492 41686 50464 52656 56772 62529 75696 78984 83372 91051 105312 113544 125058 151392 157968 166744 182102 187587 227088 250116 273153 315936 333488 364204 375174 454176 500232 546306 666976 728408 750348 819459 1000464 1092612 1456816 1500696 1638918 1729969 2000928 2185224 2913632 3001392 3277836 3459938 4370448 5189907 6002784 6555672 6919876 8740896 10379814 13111344 13839752 15569721 20759628 26222688 27679504 31139442 41519256 55359008 62278884 83038512 124557768 166077024 249115536 498231072