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40798420 = 22513374241
BaseRepresentation
bin1001101110100…
…0100011010100
32211202202220121
42123220203110
540421022140
64014241324
71003531555
oct233504324
984682817
1040798420
1121036503
12117b6244
1385b60a0
1455c032c
1538ad64a
hex26e88d4

40798420 has 48 divisors (see below), whose sum is σ = 94783248. Its totient is φ = 14653440.

The previous prime is 40798399. The next prime is 40798427. The reversal of 40798420 is 2489704.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3392964 + 37405456 = 1842^2 + 6116^2 .

It is a super-2 number, since 2×407984202 = 3329022148992800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40798427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7500 + ... + 11740.

It is an arithmetic number, because the mean of its divisors is an integer number (1974651).

Almost surely, 240798420 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 40798420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47391624).

40798420 is an abundant number, since it is smaller than the sum of its proper divisors (53984828).

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

40798420 is a wasteful number, since it uses less digits than its factorization.

40798420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 40798420 is about 6387.3640885736. The cubic root of 40798420 is about 344.2556802072.

The spelling of 40798420 in words is "forty million, seven hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4241 4810 8482 9620 16964 21205 42410 55133 84820 110266 156917 220532 275665 313834 551330 627668 784585 1102660 1569170 2039921 3138340 4079842 8159684 10199605 20399210 40798420