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40189464 = 23327233467
BaseRepresentation
bin1001100101001…
…1111000011000
32210121211120200
42121103320120
540242030324
63553222200
7665414310
oct231237030
983554520
1040189464
112075aa37
1211561960
138431b63
1454a2440
1537dcec9
hex2653e18

40189464 has 96 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 10980288.

The previous prime is 40189439. The next prime is 40189483. The reversal of 40189464 is 46498104.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9859 + ... + 13325.

It is an arithmetic number, because the mean of its divisors is an integer number (1352520).

Almost surely, 240189464 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 40189464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

40189464 is an abundant number, since it is smaller than the sum of its proper divisors (89652456).

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

40189464 is a wasteful number, since it uses less digits than its factorization.

40189464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40189464 is about 6339.5160698590. The cubic root of 40189464 is about 342.5343038438.

The spelling of 40189464 in words is "forty million, one hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3467 3864 5796 6934 10401 11592 13868 20802 24269 27736 31203 41604 48538 62406 72807 79741 83208 97076 124812 145614 159482 194152 218421 239223 249624 291228 318964 436842 478446 558187 582456 637928 717669 873684 956892 1116374 1435338 1674561 1747368 1913784 2232748 2870676 3349122 4465496 5023683 5741352 6698244 10047366 13396488 20094732 40189464