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545361408 = 2932196229
BaseRepresentation
bin100000100000011…
…000111000000000
31102000012020012200
4200200120320000
52104103031113
6130040553200
716341331644
oct4040307000
91360166180
10545361408
1125a92a109
12132782800
1388ca8077
1452602c24
1532d28873
hex20818e00

545361408 has 120 divisors (see below), whose sum is σ = 1657055400. Its totient is φ = 172191744.

The previous prime is 545361373. The next prime is 545361409. The reversal of 545361408 is 804163545.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545361409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84438 + ... + 90666.

It is an arithmetic number, because the mean of its divisors is an integer number (13808795).

Almost surely, 2545361408 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 545361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828527700).

545361408 is an abundant number, since it is smaller than the sum of its proper divisors (1111693992).

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

545361408 is a wasteful number, since it uses less digits than its factorization.

545361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 545361408 is about 23352.9742859448. The cubic root of 545361408 is about 817.0114332369.

The spelling of 545361408 in words is "five hundred forty-five million, three hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 6229 7296 9728 10944 12458 14592 18687 21888 24916 29184 37374 43776 49832 56061 74748 87552 99664 112122 118351 149496 199328 224244 236702 298992 355053 398656 448488 473404 597984 710106 797312 896976 946808 1065159 1195968 1420212 1594624 1793952 1893616 2130318 2391936 2840424 3189248 3587904 3787232 4260636 4783872 5680848 7175808 7574464 8521272 9567744 11361696 14351616 15148928 17042544 22723392 28703232 30297856 34085088 45446784 60595712 68170176 90893568 136340352 181787136 272680704 545361408