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697020948 = 2232133740253
BaseRepresentation
bin101001100010111…
…011001000010100
31210120120022222200
4221202323020110
52411414132243
6153055324500
723162403021
oct5142731024
91716508880
10697020948
113284a5178
12175520730
13b1538440
1468800548
15412d4ad3
hex298bb214

697020948 has 72 divisors (see below), whose sum is σ = 1948776648. Its totient is φ = 208666368.

The previous prime is 697020937. The next prime is 697020949. The reversal of 697020948 is 849020796.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 240002064 + 457018884 = 15492^2 + 21378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697020949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 37442.

Almost surely, 2697020948 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 697020948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974388324).

697020948 is an abundant number, since it is smaller than the sum of its proper divisors (1251755700).

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

697020948 is a wasteful number, since it uses less digits than its factorization.

697020948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40313 (or 40308 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 697020948 is about 26401.1542929471. The cubic root of 697020948 is about 886.6426334401.

The spelling of 697020948 in words is "six hundred ninety-seven million, twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 40253 80506 120759 161012 241518 362277 483036 523289 724554 1046578 1449108 1489361 1569867 2093156 2978722 3139734 4468083 4709601 5957444 6279468 8936166 9419202 13404249 17872332 18838404 19361693 26808498 38723386 53616996 58085079 77446772 116170158 174255237 232340316 348510474 697020948