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3970924048 = 2471321931087
BaseRepresentation
bin1110110010101111…
…0111111000010000
3101020201222211202001
43230223313320100
531113024032143
61454010403344
7200255204020
oct35453677020
911221884661
103970924048
111758535013
12929a30554
134b38b1200
14299545a80
1518393014d
hexecaf7e10

3970924048 has 120 divisors (see below), whose sum is σ = 9579291648. Its totient is φ = 1561337856.

The previous prime is 3970924043. The next prime is 3970924051. The reversal of 3970924048 is 8404290793.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3970923989 and 3970924007.

It is not an unprimeable number, because it can be changed into a prime (3970924043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3652561 + ... + 3653647.

Almost surely, 23970924048 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 3970924048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789645824).

3970924048 is an abundant number, since it is smaller than the sum of its proper divisors (5608367600).

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

3970924048 is a wasteful number, since it uses less digits than its factorization.

3970924048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 3970924048 is about 63015.2683720382. The cubic root of 3970924048 is about 1583.5454282623.

The spelling of 3970924048 in words is "three billion, nine hundred seventy million, nine hundred twenty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 193 208 338 364 386 676 728 772 1087 1183 1351 1352 1456 1544 2174 2366 2509 2702 2704 3088 4348 4732 5018 5404 7609 8696 9464 10036 10808 14131 15218 17392 17563 18928 20072 21616 28262 30436 32617 35126 40144 56524 60872 65234 70252 98917 113048 121744 130468 140504 183703 197834 209791 226096 228319 260936 281008 367406 395668 419582 456638 521872 734812 791336 839164 913276 1285921 1468537 1469624 1582672 1678328 1826552 2571842 2727283 2937074 2939248 3356656 3653104 5143684 5454566 5874148 10287368 10909132 11748296 19090981 20574736 21818264 23496592 35454679 38181962 43636528 70909358 76363924 141818716 152727848 248182753 283637432 305455696 496365506 567274864 992731012 1985462024 3970924048