Search a number
-
+
2480414904 = 23321131101027
BaseRepresentation
bin1001001111011000…
…0010000010111000
320101212100010120200
42103312002002320
520034441234104
61050043522200
7115316115222
oct22366020270
96355303520
102480414904
111063147480
12592829360
13306b62b36
141975d3412
15e7b5cb39
hex93d820b8

2480414904 has 96 divisors (see below), whose sum is σ = 7564976640. Its totient is φ = 727387200.

The previous prime is 2480414813. The next prime is 2480414933. The reversal of 2480414904 is 4094140842.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25962 + ... + 75065.

It is an arithmetic number, because the mean of its divisors is an integer number (78801840).

Almost surely, 22480414904 is an apocalyptic number.

2480414904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2480414904 is an abundant number, since it is smaller than the sum of its proper divisors (5084561736).

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

2480414904 is a wasteful number, since it uses less digits than its factorization.

2480414904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101081 (or 101074 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2480414904 is about 49803.7639541431. The cubic root of 2480414904 is about 1353.6553708508.

The spelling of 2480414904 in words is "two billion, four hundred eighty million, four hundred fourteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 101027 202054 303081 404108 606162 808216 909243 1111297 1212324 1818486 2222594 2424648 3131837 3333891 3636972 4445188 6263674 6667782 7273944 8890376 9395511 10001673 12527348 13335564 18791022 20003346 25054696 26671128 28186533 34450207 37582044 40006692 56373066 68900414 75164088 80013384 103350621 112746132 137800828 206701242 225492264 275601656 310051863 413402484 620103726 826804968 1240207452 2480414904