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3972748780 = 22571113198439
BaseRepresentation
bin1110110011001011…
…0101010111101100
3101020212102112210201
43230302311113230
531114010430110
61454113443244
7200306543650
oct35462652754
911225375721
103972748780
111759570a60
1292a570524
134b409c930
1429989ca60
15183b90b3a
hexeccb55ec

3972748780 has 96 divisors (see below), whose sum is σ = 11201541120. Its totient is φ = 1143002880.

The previous prime is 3972748771. The next prime is 3972748789. The reversal of 3972748780 is 878472793.

It is an interprime number because it is at equal distance from previous prime (3972748771) and next prime (3972748789).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3972748789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79200 + ... + 119239.

It is an arithmetic number, because the mean of its divisors is an integer number (116682720).

Almost surely, 23972748780 is an apocalyptic number.

It is an amenable number.

3972748780 is an abundant number, since it is smaller than the sum of its proper divisors (7228792340).

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

3972748780 is a wasteful number, since it uses less digits than its factorization.

3972748780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198479 (or 198477 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The square root of 3972748780 is about 63029.7452001831. The cubic root of 3972748780 is about 1583.7879497753.

The spelling of 3972748780 in words is "three billion, nine hundred seventy-two million, seven hundred forty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 198439 396878 793756 992195 1389073 1984390 2182829 2579707 2778146 3968780 4365658 5159414 5556292 6945365 8731316 10318828 10914145 12898535 13890730 15279803 18057949 21828290 25797070 27781460 28376777 30559606 36115898 43656580 51594140 56753554 61119212 72231796 76399015 90289745 113507108 141883885 152798030 180579490 198637439 283767770 305596060 361158980 397274878 567535540 794549756 993187195 1986374390 3972748780