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406992552 = 2333147103113
BaseRepresentation
bin11000010000100…
…011011010101000
31001100211100211020
4120100203122220
51313142230202
6104215132440
713041244131
oct3020433250
91040740736
10406992552
1119981158a
12b4374120
136641c2c5
143c0a4c88
1525ae55bc
hex184236a8

406992552 has 128 divisors (see below), whose sum is σ = 1092648960. Its totient is φ = 126120960.

The previous prime is 406992539. The next prime is 406992557. The reversal of 406992552 is 255299604.

It is not an unprimeable number, because it can be changed into a prime (406992557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3601648 + ... + 3601760.

It is an arithmetic number, because the mean of its divisors is an integer number (8536320).

Almost surely, 2406992552 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 406992552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546324480).

406992552 is an abundant number, since it is smaller than the sum of its proper divisors (685656408).

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

406992552 is a wasteful number, since it uses less digits than its factorization.

406992552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 406992552 is about 20174.0564091608. The cubic root of 406992552 is about 741.0749849902.

The spelling of 406992552 in words is "four hundred six million, nine hundred ninety-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 103 113 124 141 186 188 206 226 248 282 309 339 372 376 412 452 564 618 678 744 824 904 1128 1236 1356 1457 2472 2712 2914 3193 3503 4371 4841 5311 5828 6386 7006 8742 9579 9682 10509 10622 11639 11656 12772 14012 14523 15933 17484 19158 19364 21018 21244 23278 25544 28024 29046 31866 34917 34968 38316 38728 42036 42488 46556 58092 63732 69834 76632 84072 93112 116184 127464 139668 150071 164641 279336 300142 329282 360809 450213 493923 547033 600284 658564 721618 900426 987846 1082427 1094066 1200568 1317128 1443236 1641099 1800852 1975692 2164854 2188132 2886472 3282198 3601704 3951384 4329708 4376264 6564396 8659416 13128792 16958023 33916046 50874069 67832092 101748138 135664184 203496276 406992552