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4017402972 = 223211109163571
BaseRepresentation
bin1110111101110100…
…1011010001011100
3101100222110012211200
43233131023101130
531211423343342
61502350515500
7201361235052
oct35735132134
911328405750
104017402972
1117817a0350
12941505b90
134c0405a2b
142a17a41d2
15187a6194c
hexef74b45c

4017402972 has 144 divisors (see below), whose sum is σ = 11268216960. Its totient is φ = 1196726400.

The previous prime is 4017402953. The next prime is 4017403003. The reversal of 4017402972 is 2792047104.

It is a super-2 number, since 2×40174029722 = 32279053278868865568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7035447 + ... + 7036017.

Almost surely, 24017402972 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 4017402972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634108480).

4017402972 is an abundant number, since it is smaller than the sum of its proper divisors (7250813988).

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

4017402972 is a wasteful number, since it uses less digits than its factorization.

4017402972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4017402972 is about 63382.9864553572. The cubic root of 4017402972 is about 1589.6998460354.

The spelling of 4017402972 in words is "four billion, seventeen million, four hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 163 198 218 326 327 396 436 489 571 652 654 978 981 1142 1199 1308 1467 1713 1793 1956 1962 2284 2398 2934 3426 3586 3597 3924 4796 5139 5379 5868 6281 6852 7172 7194 10278 10758 10791 12562 14388 16137 17767 18843 20556 21516 21582 25124 32274 35534 37686 43164 53301 56529 62239 64548 71068 75372 93073 106602 113058 124478 159903 186146 186717 195437 213204 226116 248956 279219 319806 372292 373434 390874 558438 560151 586311 639612 684629 746868 781748 837657 1023803 1116876 1120302 1172622 1369258 1675314 1758933 2047606 2053887 2240604 2345244 2738516 3071409 3350628 3517866 4095212 4107774 6142818 6161661 7035732 8215548 9214227 10144957 12285636 12323322 18428454 20289914 24646644 30434871 36856908 40579828 60869742 91304613 111594527 121739484 182609226 223189054 334783581 365218452 446378108 669567162 1004350743 1339134324 2008701486 4017402972