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405034552 = 231319712887
BaseRepresentation
bin11000001001000…
…101011000111000
31001020010212221201
4120021011120320
51312142101202
6104105143544
713015510516
oct3011053070
91036125851
10405034552
111986a44aa
12b378abb4
1365bb5020
143bb154b6
152585a387
hex18245638

405034552 has 64 divisors (see below), whose sum is σ = 873331200. Its totient is φ = 174545280.

The previous prime is 405034549. The next prime is 405034559. The reversal of 405034552 is 255430504.

It is a self number, because there is not a number n which added to its sum of digits gives 405034552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405034559) 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 15 ways as a sum of consecutive naturals, for example, 138853 + ... + 141739.

It is an arithmetic number, because the mean of its divisors is an integer number (13645800).

Almost surely, 2405034552 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 405034552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436665600).

405034552 is an abundant number, since it is smaller than the sum of its proper divisors (468296648).

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

405034552 is a wasteful number, since it uses less digits than its factorization.

405034552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 405034552 is about 20125.4702305313. The cubic root of 405034552 is about 739.8846618390.

The spelling of 405034552 in words is "four hundred five million, thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 71 76 104 142 152 247 284 494 568 923 988 1349 1846 1976 2698 2887 3692 5396 5774 7384 10792 11548 17537 23096 35074 37531 54853 70148 75062 109706 140296 150124 204977 219412 300248 409954 438824 713089 819908 1426178 1639816 2664701 2852356 3894563 5329402 5704712 7789126 10658804 15578252 21317608 31156504 50629319 101258638 202517276 405034552