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40478480 = 245741243
BaseRepresentation
bin1001101001101…
…0011100010000
32211011112000222
42122122130100
540330302410
64003332212
71001030030
oct232323420
984145028
1040478480
1120938099
1211681068
138503583
1455398c0
153848955
hex269a710

40478480 has 120 divisors (see below), whose sum is σ = 112808256. Its totient is φ = 13224960.

The previous prime is 40478447. The next prime is 40478489. The reversal of 40478480 is 8487404.

It is a super-2 number, since 2×404784802 = 3277014686220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 40478480.

It is not an unprimeable number, because it can be changed into a prime (40478489) 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 23 ways as a sum of consecutive naturals, for example, 941339 + ... + 941381.

Almost surely, 240478480 is an apocalyptic number.

40478480 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 40478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56404128).

40478480 is an abundant number, since it is smaller than the sum of its proper divisors (72329776).

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

40478480 is a wasteful number, since it uses less digits than its factorization.

40478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 40478480 is about 6362.2700351368. The cubic root of 40478480 is about 343.3534366796.

The spelling of 40478480 in words is "forty million, four hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 43 56 70 80 82 86 112 140 164 172 205 215 280 287 301 328 344 410 430 560 574 602 656 688 820 860 1148 1204 1435 1505 1640 1681 1720 1763 2296 2408 2870 3010 3280 3362 3440 3526 4592 4816 5740 6020 6724 7052 8405 8815 11480 11767 12040 12341 13448 14104 16810 17630 22960 23534 24080 24682 26896 28208 33620 35260 47068 49364 58835 61705 67240 70520 72283 94136 98728 117670 123410 134480 141040 144566 188272 197456 235340 246820 289132 361415 470680 493640 505981 578264 722830 941360 987280 1011962 1156528 1445660 2023924 2529905 2891320 4047848 5059810 5782640 8095696 10119620 20239240 40478480