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1972551042 = 23571152711
BaseRepresentation
bin111010110010010…
…1011110110000010
312002110200222100000
41311210223312002
513014433113132
6523422340430
766611256450
oct16544536602
95073628300
101972551042
119224a9880
1247072a716
13255886587
14149d919d0
15b828e87c
hex7592bd82

1972551042 has 96 divisors (see below), whose sum is σ = 5525904384. Its totient is φ = 512341200.

The previous prime is 1972551023. The next prime is 1972551107. The reversal of 1972551042 is 2401552791.

It is a super-2 number, since 2×19725510422 = 7781915226590571528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1972550988 and 1972551006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11067 + ... + 63777.

It is an arithmetic number, because the mean of its divisors is an integer number (57561504).

Almost surely, 21972551042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972551042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762952192).

1972551042 is an abundant number, since it is smaller than the sum of its proper divisors (3553353342).

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

1972551042 is a wasteful number, since it uses less digits than its factorization.

1972551042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52746 (or 52734 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1972551042 is about 44413.4106098597. The cubic root of 1972551042 is about 1254.1305580511.

The spelling of 1972551042 in words is "one billion, nine hundred seventy-two million, five hundred fifty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 52711 105422 158133 316266 368977 474399 579821 737954 948798 1106931 1159642 1423197 1739463 2213862 2846394 3320793 3478926 4058747 4269591 5218389 6641586 8117494 8539182 9962379 10436778 12176241 12808773 15655167 19924758 24352482 25617546 29887137 31310334 36528723 46965501 59774274 73057446 89661411 93931002 109586169 140896503 179322822 219172338 281793006 328758507 657517014 986275521 1972551042