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2949142240 = 255112957781
BaseRepresentation
bin1010111111001000…
…0101011011100000
321121112022221121101
42233302011123200
522014440022430
61204350204144
7133040203222
oct25762053340
97545287541
102949142240
111283794240
126a37b3654
1337ccb88a5
141dd968412
15123d99dca
hexafc856e0

2949142240 has 96 divisors (see below), whose sum is σ = 7862974560. Its totient is φ = 1035417600.

The previous prime is 2949142237. The next prime is 2949142253. The reversal of 2949142240 is 422419492.

2949142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2949142240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22150 + ... + 79930.

It is an arithmetic number, because the mean of its divisors is an integer number (81905985).

Almost surely, 22949142240 is an apocalyptic number.

2949142240 is a gapful number since it is divisible by the number (20) 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 2949142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931487280).

2949142240 is an abundant number, since it is smaller than the sum of its proper divisors (4913832320).

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

2949142240 is a wasteful number, since it uses less digits than its factorization.

2949142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57836 (or 57828 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2949142240 is about 54306.0055610795. The cubic root of 2949142240 is about 1434.0531237229.

The spelling of 2949142240 in words is "two billion, nine hundred forty-nine million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 25520 51040 57781 115562 231124 288905 462248 577810 635591 924496 1155620 1271182 1675649 1848992 2311240 2542364 3177955 3351298 4622480 5084728 6355910 6702596 8378245 9244960 10169456 12711820 13405192 16756490 18432139 20338912 25423640 26810384 33512980 36864278 50847280 53620768 67025960 73728556 92160695 101694560 134051920 147457112 184321390 268103840 294914224 368642780 589828448 737285560 1474571120 2949142240