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40388148 = 223219137431
BaseRepresentation
bin1001101000010…
…0011000110100
32210222221010100
42122010120310
540314410043
64001354100
71000202463
oct232043064
983887110
1040388148
1120886239
1211638930
1384a1418
1455149da
15382bcd3
hex2684634

40388148 has 72 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 12631680.

The previous prime is 40388147. The next prime is 40388171. The reversal of 40388148 is 84188304.

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 (40388147) 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, 93493 + ... + 93923.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 240388148 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 40388148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

40388148 is an abundant number, since it is smaller than the sum of its proper divisors (68112972).

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

40388148 is a wasteful number, since it uses less digits than its factorization.

40388148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 40388148 is about 6355.1670316365. The cubic root of 40388148 is about 343.0978366425.

The spelling of 40388148 in words is "forty million, three hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 137 171 228 274 342 411 431 548 684 822 862 1233 1293 1644 1724 2466 2586 2603 3879 4932 5172 5206 7758 7809 8189 10412 15516 15618 16378 23427 24567 31236 32756 46854 49134 59047 73701 93708 98268 118094 147402 177141 236188 294804 354282 531423 708564 1062846 1121893 2125692 2243786 3365679 4487572 6731358 10097037 13462716 20194074 40388148