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4790957040 = 2432523289309
BaseRepresentation
bin1000111011001000…
…00011001111110000
3110100220000211112100
410131210003033300
534302441111130
62111222500400
7226503314532
oct43544031760
913326024470
104790957040
112039408a31
12b18594700
135b475952c
14336407852
151d0912c60
hex11d9033f0

4790957040 has 120 divisors (see below), whose sum is σ = 16789237920. Its totient is φ = 1222036992.

The previous prime is 4790957033. The next prime is 4790957047. The reversal of 4790957040 is 407590974.

4790957040 is a `hidden beast` number, since 4 + 79 + 0 + 9 + 570 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4790957033) and next prime (4790957047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4790957047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128095 + ... + 161214.

It is an arithmetic number, because the mean of its divisors is an integer number (139910316).

Almost surely, 24790957040 is an apocalyptic number.

4790957040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4790957040 is an abundant number, since it is smaller than the sum of its proper divisors (11998280880).

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

4790957040 is a wasteful number, since it uses less digits than its factorization.

4790957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289351 (or 289342 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4790957040 is about 69216.7395938295. The cubic root of 4790957040 is about 1685.8053413558.

The spelling of 4790957040 in words is "four billion, seven hundred ninety million, nine hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 289309 578618 867927 1157236 1446545 1735854 2314472 2603781 2893090 3471708 4339635 4628944 5207562 5786180 6654107 6943416 8679270 10415124 11572360 13018905 13308214 13886832 17358540 19962321 20830248 23144720 26037810 26616428 33270535 34717080 39924642 41660496 52075620 53232856 59886963 66541070 69434160 79849284 99811605 104151240 106465712 119773926 133082140 159698568 199623210 208302480 239547852 266164280 299434815 319397136 399246420 479095704 532328560 598869630 798492840 958191408 1197739260 1596985680 2395478520 4790957040