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2949620832 = 25342349477
BaseRepresentation
bin1010111111001111…
…1010010001100000
321121120020021010000
42233303322101200
522020100331312
61204404340000
7133044235434
oct25763722140
97546207100
102949620832
111283a90874
126a39a4600
13380125692
141dda509c4
15123e41adc
hexafcfa460

2949620832 has 120 divisors (see below), whose sum is σ = 9052099056. Its totient is φ = 940439808.

The previous prime is 2949620813. The next prime is 2949620851. The reversal of 2949620832 is 2380269492.

It is an interprime number because it is at equal distance from previous prime (2949620813) and next prime (2949620851).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34878 + ... + 84354.

Almost surely, 22949620832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949620832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526049528).

2949620832 is an abundant number, since it is smaller than the sum of its proper divisors (6102478224).

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

2949620832 is a wasteful number, since it uses less digits than its factorization.

2949620832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49522 (or 49505 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2949620832 is about 54310.4118194661. The cubic root of 2949620832 is about 1434.1306930831.

The spelling of 2949620832 in words is "two billion, nine hundred forty-nine million, six hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 49477 59616 98954 148431 197908 296862 395816 445293 593724 791632 890586 1137971 1187448 1335879 1583264 1781172 2275942 2374896 2671758 3413913 3562344 4007637 4551884 4749792 5343516 6827826 7124688 8015274 9103768 10241739 10687032 13655652 14249376 16030548 18207536 20483478 21374064 27311304 30725217 32061096 36415072 40966956 42748128 54622608 61450434 64122192 81933912 92175651 109245216 122900868 128244384 163867824 184351302 245801736 327735648 368702604 491603472 737405208 983206944 1474810416 2949620832