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40464396 = 22327329113
BaseRepresentation
bin1001101001011…
…1000000001100
32211010210201100
42122113000030
540324330041
64003143100
71000641000
oct232270014
984123640
1040464396
1120928555
1211674a90
1384ca03b
145534700
1538446b6
hex269700c

40464396 has 144 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 11063808.

The previous prime is 40464371. The next prime is 40464401. The reversal of 40464396 is 69346404.

40464396 is a `hidden beast` number, since 4 + 0 + 4 + 643 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40464396.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358036 + ... + 358148.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 240464396 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 40464396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244000).

40464396 is an abundant number, since it is smaller than the sum of its proper divisors (84023604).

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

40464396 is a wasteful number, since it uses less digits than its factorization.

40464396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 40464396 is about 6361.1631011946. The cubic root of 40464396 is about 343.3136101614.

The spelling of 40464396 in words is "forty million, four hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 113 116 126 147 174 196 203 226 252 261 294 339 343 348 406 441 452 522 588 609 678 686 791 812 882 1017 1029 1044 1218 1356 1372 1421 1582 1764 1827 2034 2058 2373 2436 2842 3087 3164 3277 3654 4068 4116 4263 4746 5537 5684 6174 6554 7119 7308 8526 9492 9831 9947 11074 12348 12789 13108 14238 16611 17052 19662 19894 22148 22939 25578 28476 29493 29841 33222 38759 39324 39788 45878 49833 51156 58986 59682 66444 68817 77518 89523 91756 99666 116277 117972 119364 137634 155036 160573 179046 199332 206451 232554 275268 321146 348831 358092 412902 465108 481719 642292 697662 825804 963438 1124011 1395324 1445157 1926876 2248022 2890314 3372033 4496044 5780628 6744066 10116099 13488132 20232198 40464396