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4225672520 = 2356111871459
BaseRepresentation
bin1111101111011110…
…1010010101001000
3101220111100101221122
43323313222111020
532123233010040
61535150454412
7206500423646
oct37367522510
911814311848
104225672520
111879311343
1299b204408
135245c7054
142c12da196
1519aea11b5
hexfbdea548

4225672520 has 64 divisors (see below), whose sum is σ = 9678398400. Its totient is φ = 1660020480.

The previous prime is 4225672501. The next prime is 4225672537. The reversal of 4225672520 is 252765224.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 2895551 + ... + 2897009.

It is an arithmetic number, because the mean of its divisors is an integer number (151224975).

Almost surely, 24225672520 is an apocalyptic number.

4225672520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225672520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839199200).

4225672520 is an abundant number, since it is smaller than the sum of its proper divisors (5452725880).

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

4225672520 is a wasteful number, since it uses less digits than its factorization.

4225672520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 4225672520 is about 65005.1730249216. The cubic root of 4225672520 is about 1616.7093340967.

The spelling of 4225672520 in words is "four billion, two hundred twenty-five million, six hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1187 1220 1459 2374 2440 2918 4748 5836 5935 7295 9496 11672 11870 14590 23740 29180 47480 58360 72407 88999 144814 177998 289628 355996 362035 444995 579256 711992 724070 889990 1448140 1731833 1779980 2896280 3463666 3559960 6927332 8659165 13854664 17318330 34636660 69273320 105641813 211283626 422567252 528209065 845134504 1056418130 2112836260 4225672520