Search a number
-
+
40048680 = 233574139
BaseRepresentation
bin1001100011000…
…1100000101000
32210100200110110
42120301200220
540223024210
63550214320
7664260000
oct230614050
983320413
1040048680
1120674191
12114b43a0
1383b2a59
145467000
1537b1420
hex2631828

40048680 has 160 divisors (see below), whose sum is σ = 141170400. Its totient is φ = 9088128.

The previous prime is 40048649. The next prime is 40048691. The reversal of 40048680 is 8684004.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288051 + ... + 288189.

It is an arithmetic number, because the mean of its divisors is an integer number (882315).

Almost surely, 240048680 is an apocalyptic number.

40048680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70585200).

40048680 is an abundant number, since it is smaller than the sum of its proper divisors (101121720).

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

40048680 is a wasteful number, since it uses less digits than its factorization.

40048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40048680 is about 6328.4026420575. The cubic root of 40048680 is about 342.1338691412.

The spelling of 40048680 in words is "forty million, forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 139 140 147 168 196 210 245 278 280 294 343 392 417 420 490 556 588 686 695 735 834 840 973 980 1029 1112 1176 1372 1390 1470 1668 1715 1946 1960 2058 2085 2401 2744 2780 2919 2940 3336 3430 3892 4116 4170 4802 4865 5145 5560 5838 5880 6811 6860 7203 7784 8232 8340 9604 9730 10290 11676 12005 13622 13720 14406 14595 16680 19208 19460 20433 20580 23352 24010 27244 28812 29190 34055 36015 38920 40866 41160 47677 48020 54488 57624 58380 68110 72030 81732 95354 96040 102165 116760 136220 143031 144060 163464 190708 204330 238385 272440 286062 288120 333739 381416 408660 476770 572124 667478 715155 817320 953540 1001217 1144248 1334956 1430310 1668695 1907080 2002434 2669912 2860620 3337390 4004868 5006085 5721240 6674780 8009736 10012170 13349560 20024340 40048680