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40945590 = 23257103631
BaseRepresentation
bin1001110000110…
…0011110110110
32212001020210100
42130030132312
540440224330
64021334530
71005013620
oct234143666
985036710
1040945590
1121127034
1211867446
13863807a
14561bc10
1538dc060
hex270c7b6

40945590 has 96 divisors (see below), whose sum is σ = 123042816. Its totient is φ = 9253440.

The previous prime is 40945547. The next prime is 40945603. The reversal of 40945590 is 9554904.

It is a congruent number.

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, 64575 + ... + 65205.

It is an arithmetic number, because the mean of its divisors is an integer number (1281696).

Almost surely, 240945590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40945590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61521408).

40945590 is an abundant number, since it is smaller than the sum of its proper divisors (82097226).

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

40945590 is a wasteful number, since it uses less digits than its factorization.

40945590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 40945590 is about 6398.8741197182. The cubic root of 40945590 is about 344.6691219608.

The spelling of 40945590 in words is "forty million, nine hundred forty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 103 105 126 206 210 309 315 515 618 630 631 721 927 1030 1262 1442 1545 1854 1893 2163 3090 3155 3605 3786 4326 4417 4635 5679 6310 6489 7210 8834 9270 9465 10815 11358 12978 13251 18930 21630 22085 26502 28395 32445 39753 44170 56790 64890 64993 66255 79506 129986 132510 194979 198765 324965 389958 397530 454951 584937 649930 909902 974895 1169874 1364853 1949790 2274755 2729706 2924685 4094559 4549510 5849370 6824265 8189118 13648530 20472795 40945590