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2949339492 = 22331110324103
BaseRepresentation
bin1010111111001011…
…0101100101100100
321121112200222012000
42233302311211210
522020012330432
61204354325300
7133041654261
oct25762654544
97545628160
102949339492
111283909460
126a3889830
133800575c8
141dd9ba268
15123dd857c
hexafcb5964

2949339492 has 96 divisors (see below), whose sum is σ = 8422901760. Its totient is φ = 885025440.

The previous prime is 2949339487. The next prime is 2949339493.

2949339492 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2949339493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110313 + ... + 134415.

It is an arithmetic number, because the mean of its divisors is an integer number (87738560).

Almost surely, 22949339492 is an apocalyptic number.

2949339492 is a gapful number since it is divisible by the number (22) 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 2949339492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211450880).

2949339492 is an abundant number, since it is smaller than the sum of its proper divisors (5473562268).

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

2949339492 is a wasteful number, since it uses less digits than its factorization.

2949339492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 24222 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2949339492 is about 54307.8216466100. The cubic root of 2949339492 is about 1434.0850950010.

The spelling of 2949339492 in words is "two billion, nine hundred forty-nine million, three hundred thirty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 10197 11124 13596 20394 24103 30591 40788 48206 61182 72309 96412 122364 144618 216927 265133 289236 433854 530266 650781 795399 867708 1060532 1301562 1590798 2386197 2482609 2603124 3181596 4772394 4965218 7158591 7447827 9544788 9930436 14317182 14895654 22343481 27308699 28634364 29791308 44686962 54617398 67030443 81926097 89373924 109234796 134060886 163852194 245778291 268121772 327704388 491556582 737334873 983113164 1474669746 2949339492