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40534400 = 275253239
BaseRepresentation
bin1001101010100…
…0000110000000
32211021100202002
42122220012000
540334100100
64004443132
71001352044
oct232500600
984240662
1040534400
1120976105
12116a94a8
138522b6a
145552024
15385a2d5
hex26a8180

40534400 has 96 divisors (see below), whose sum is σ = 102448800. Its totient is φ = 15841280.

The previous prime is 40534399. The next prime is 40534411. The reversal of 40534400 is 443504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169481 + ... + 169719.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 240534400 is an apocalyptic number.

40534400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224400).

40534400 is an abundant number, since it is smaller than the sum of its proper divisors (61914400).

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

40534400 is a wasteful number, since it uses less digits than its factorization.

40534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 40534400 is about 6366.6631762643. The cubic root of 40534400 is about 343.5114752997.

Adding to 40534400 its reverse (443504), we get a palindrome (40977904).

The spelling of 40534400 in words is "forty million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 128 160 200 212 239 265 320 400 424 478 530 640 800 848 956 1060 1195 1325 1600 1696 1912 2120 2390 2650 3200 3392 3824 4240 4780 5300 5975 6784 7648 8480 9560 10600 11950 12667 15296 16960 19120 21200 23900 25334 30592 33920 38240 42400 47800 50668 63335 76480 84800 95600 101336 126670 152960 169600 191200 202672 253340 316675 382400 405344 506680 633350 764800 810688 1013360 1266700 1621376 2026720 2533400 4053440 5066800 8106880 10133600 20267200 40534400