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46402290 = 23251124261
BaseRepresentation
bin1011000100000…
…0101011110010
310020022110222100
42301000223302
543334333130
64334321230
71102261434
oct261005362
9106273870
1046402290
1124213800
1213659216
1397c899c
14623c654
154118c60
hex2c40af2

46402290 has 72 divisors (see below), whose sum is σ = 132641964. Its totient is φ = 11246400.

The previous prime is 46402271. The next prime is 46402297. The reversal of 46402290 is 9220464.

It can be written as a sum of positive squares in 2 ways, for example, as 43996689 + 2405601 = 6633^2 + 1551^2 .

It is not an unprimeable number, because it can be changed into a prime (46402297) 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 35 ways as a sum of consecutive naturals, for example, 8760 + ... + 13020.

Almost surely, 246402290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46402290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66320982).

46402290 is an abundant number, since it is smaller than the sum of its proper divisors (86239674).

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

46402290 is a wasteful number, since it uses less digits than its factorization.

46402290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46402290 is about 6811.9226360845. The cubic root of 46402290 is about 359.3462672932.

The spelling of 46402290 in words is "forty-six million, four hundred two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 4261 5445 8522 10890 12783 21305 25566 38349 42610 46871 63915 76698 93742 127830 140613 191745 234355 281226 383490 421839 468710 515581 703065 843678 1031162 1406130 1546743 2109195 2577905 3093486 4218390 4640229 5155810 7733715 9280458 15467430 23201145 46402290