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40387572 = 2235371123
BaseRepresentation
bin1001101000010…
…0001111110100
32210222220100000
42122010033310
540314400242
64001351300
71000201011
oct232041764
983886300
1040387572
1120885865
1211638530
1384a1094
145514708
15382ba4c
hex26843f4

40387572 has 72 divisors (see below), whose sum is σ = 108830176. Its totient is φ = 13087008.

The previous prime is 40387553. The next prime is 40387573. The reversal of 40387572 is 27578304.

40387572 is a `hidden beast` number, since 4 + 0 + 3 + 87 + 572 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35403 + ... + 36525.

Almost surely, 240387572 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 40387572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54415088).

40387572 is an abundant number, since it is smaller than the sum of its proper divisors (68442604).

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

40387572 is a wasteful number, since it uses less digits than its factorization.

40387572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40387572 is about 6355.1217140193. The cubic root of 40387572 is about 343.0962055923.

The spelling of 40387572 in words is "forty million, three hundred eighty-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1123 1332 1998 2246 2997 3369 3996 4492 5994 6738 8991 10107 11988 13476 17982 20214 30321 35964 40428 41551 60642 83102 90963 121284 124653 166204 181926 249306 272889 363852 373959 498612 545778 747918 1091556 1121877 1495836 2243754 3365631 4487508 6731262 10096893 13462524 20193786 40387572