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41295150 = 23352132181
BaseRepresentation
bin1001110110000…
…1110100101110
32212201000022000
42131201310232
541032421100
64033033130
71011001011
oct235416456
985630260
1041295150
1121345726
12119b57a6
13872b200
1456ad378
15395a900
hex2761d2e

41295150 has 144 divisors (see below), whose sum is σ = 123898320. Its totient is φ = 10108800.

The previous prime is 41295139. The next prime is 41295157. The reversal of 41295150 is 5159214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41295157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228060 + ... + 228240.

It is an arithmetic number, because the mean of its divisors is an integer number (860405).

Almost surely, 241295150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41295150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

41295150 is an abundant number, since it is smaller than the sum of its proper divisors (82603170).

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

41295150 is a wasteful number, since it uses less digits than its factorization.

41295150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 41295150 is about 6426.1302507808. The cubic root of 41295150 is about 345.6471784069.

The spelling of 41295150 in words is "forty-one million, two hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 169 181 195 225 234 270 325 338 351 362 390 450 507 543 585 650 675 702 845 905 975 1014 1086 1170 1350 1521 1629 1690 1755 1810 1950 2353 2535 2715 2925 3042 3258 3510 4225 4525 4563 4706 4887 5070 5430 5850 7059 7605 8145 8450 8775 9050 9126 9774 11765 12675 13575 14118 15210 16290 17550 21177 22815 23530 24435 25350 27150 30589 35295 38025 40725 42354 45630 48870 58825 61178 63531 70590 76050 81450 91767 105885 114075 117650 122175 127062 152945 176475 183534 211770 228150 244350 275301 305890 317655 352950 458835 529425 550602 635310 764725 825903 917670 1058850 1376505 1529450 1588275 1651806 2294175 2753010 3176550 4129515 4588350 6882525 8259030 13765050 20647575 41295150