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4058512640 = 28571334843
BaseRepresentation
bin1111000111100111…
…1111110100000000
3101110211210210200222
43301321333310000
531302434401030
61510420002212
7202400534240
oct36171776400
911424723628
104058512640
1117a2a19686
12953230368
134c8a9a690
142a7025b20
1518b4823e5
hexf1e7fd00

4058512640 has 144 divisors (see below), whose sum is σ = 11965150848. Its totient is φ = 1284415488.

The previous prime is 4058512637. The next prime is 4058512681. The reversal of 4058512640 is 462158504.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4058512640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99059 + ... + 133901.

Almost surely, 24058512640 is an apocalyptic number.

4058512640 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 4058512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982575424).

4058512640 is an abundant number, since it is smaller than the sum of its proper divisors (7906638208).

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

4058512640 is a wasteful number, since it uses less digits than its factorization.

4058512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34884 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 4058512640 is about 63706.4568156164. The cubic root of 4058512640 is about 1595.1038660361.

The spelling of 4058512640 in words is "four billion, fifty-eight million, five hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2912 3328 3640 4160 4480 5824 7280 8320 8960 11648 14560 16640 23296 29120 34843 58240 69686 116480 139372 174215 243901 278744 348430 452959 487802 557488 696860 905918 975604 1114976 1219505 1393720 1811836 1951208 2229952 2264795 2439010 2787440 3170713 3623672 3902416 4459904 4529590 4878020 5574880 6341426 7247344 7804832 8919808 9059180 9756040 11149760 12682852 14494688 15609664 15853565 18118360 19512080 22299520 25365704 28989376 31219328 31707130 36236720 39024160 44599040 50731408 57978752 62438656 63414260 72473440 78048320 101462816 115957504 126828520 144946880 156096640 202925632 253657040 289893760 312193280 405851264 507314080 579787520 811702528 1014628160 2029256320 4058512640