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40728792 = 23313314211
BaseRepresentation
bin1001101101011…
…1100011011000
32211122020101210
42123113203120
540411310132
64012543120
71003121556
oct233274330
984566353
1040728792
1120a99165
1211781aa0
1385904a0
1455a2bd6
153897bcc
hex26d78d8

40728792 has 64 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 12124800.

The previous prime is 40728781. The next prime is 40728797. The reversal of 40728792 is 29782704.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 40728792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40728797) 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, 7567 + ... + 11777.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 240728792 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 40728792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

40728792 is an abundant number, since it is smaller than the sum of its proper divisors (72489768).

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

40728792 is a wasteful number, since it uses less digits than its factorization.

40728792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 40728792 is about 6381.9113124518. The cubic root of 40728792 is about 344.0597291274.

The spelling of 40728792 in words is "forty million, seven hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4211 4836 8422 9672 12633 16844 25266 33688 50532 54743 101064 109486 130541 164229 218972 261082 328458 391623 437944 522164 656916 783246 1044328 1313832 1566492 1697033 3132984 3394066 5091099 6788132 10182198 13576264 20364396 40728792