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4257157740 = 22351114594421
BaseRepresentation
bin1111110110111111…
…0001001001101100
3101222200121000112220
43331233301021230
532204313021430
61542233355340
7210332146413
oct37557611154
911880530486
104257157740
111895066690
129a9868b50
1352ac9c064
142c557447a
1519db20110
hexfdbf126c

4257157740 has 96 divisors (see below), whose sum is σ = 13015537920. Its totient is φ = 1031097600.

The previous prime is 4257157721. The next prime is 4257157753. The reversal of 4257157740 is 477517524.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4257157692 and 4257157701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960730 + ... + 965150.

It is an arithmetic number, because the mean of its divisors is an integer number (135578520).

Almost surely, 24257157740 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 4257157740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507768960).

4257157740 is an abundant number, since it is smaller than the sum of its proper divisors (8758380180).

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

4257157740 is a wasteful number, since it uses less digits than its factorization.

4257157740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 42.

The square root of 4257157740 is about 65246.8983170848. The cubic root of 4257157740 is about 1620.7147356752.

The spelling of 4257157740 in words is "four billion, two hundred fifty-seven million, one hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1459 2918 4377 4421 5836 7295 8754 8842 13263 14590 16049 17508 17684 21885 22105 26526 29180 32098 43770 44210 48147 48631 53052 64196 66315 80245 87540 88420 96294 97262 132630 145893 160490 192588 194524 240735 243155 265260 291786 320980 481470 486310 583572 729465 962940 972620 1458930 2917860 6450239 12900478 19350717 25800956 32251195 38701434 64502390 70952629 77402868 96753585 129004780 141905258 193507170 212857887 283810516 354763145 387014340 425715774 709526290 851431548 1064289435 1419052580 2128578870 4257157740